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Finding the Fourth Proportional to 930,432, 1,283,996.16 and 506,496

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Solution

The fourth proportional to 930,432, 1,283,996.16 and 506,496 is: 698,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,432 : 1,283,996.16 = 506,496 : x
  2. Step 2: Convert to fraction form
    930,432/1,283,996.16 = 506,496/x
  3. Step 3: Cross multiply
    930,432x = 1,283,996.16 × 506,496
  4. Step 4: Simplify right side
    930,432x = 650,338,919,055.36
  5. Step 5: Solve for x
    x = 650,338,919,055.36/930,432
  6. Step 6: Final answer
    x = 698,964.48

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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.