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Finding the Fourth Proportional to 1,222,208,808.02, 1,686,688,895.49 and 686,454,886.34

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Solution

The fourth proportional to 1,222,208,808.02, 1,686,688,895.49 and 686,454,886.34 is: 947,330,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,208,808.02 : 1,686,688,895.49 = 686,454,886.34 : x
  2. Step 2: Convert to fraction form
    1,222,208,808.02/1,686,688,895.49 = 686,454,886.34/x
  3. Step 3: Cross multiply
    1,222,208,808.02x = 1,686,688,895.49 × 686,454,886.34
  4. Step 4: Simplify right side
    1,222,208,808.02x = 1,157,835,834,044,528,128
  5. Step 5: Solve for x
    x = 1,157,835,834,044,528,128/1,222,208,808.02
  6. Step 6: Final answer
    x = 947,330,625.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.