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Finding the Fourth Proportional to 1,248,384.80, 1,869,409.20 and 686,784.80

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Solution

The fourth proportional to 1,248,384.80, 1,869,409.20 and 686,784.80 is: 1,028,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,384.80 : 1,869,409.20 = 686,784.80 : x
  2. Step 2: Convert to fraction form
    1,248,384.80/1,869,409.20 = 686,784.80/x
  3. Step 3: Cross multiply
    1,248,384.80x = 1,869,409.20 × 686,784.80
  4. Step 4: Simplify right side
    1,248,384.80x = 1,283,881,823,540.16
  5. Step 5: Solve for x
    x = 1,283,881,823,540.16/1,248,384.80
  6. Step 6: Final answer
    x = 1,028,434.36

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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.