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Finding the Fourth Proportional to 612,223.68, 918,646.56 and 275,196.45

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Solution

The fourth proportional to 612,223.68, 918,646.56 and 275,196.45 is: 412,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,223.68 : 918,646.56 = 275,196.45 : x
  2. Step 2: Convert to fraction form
    612,223.68/918,646.56 = 275,196.45/x
  3. Step 3: Cross multiply
    612,223.68x = 918,646.56 × 275,196.45
  4. Step 4: Simplify right side
    612,223.68x = 252,808,272,116.71
  5. Step 5: Solve for x
    x = 252,808,272,116.71/612,223.68
  6. Step 6: Final answer
    x = 412,934.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.