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Finding the Fourth Proportional to 710,382, 980,327.16 and 392,430

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Solution

The fourth proportional to 710,382, 980,327.16 and 392,430 is: 541,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,382 : 980,327.16 = 392,430 : x
  2. Step 2: Convert to fraction form
    710,382/980,327.16 = 392,430/x
  3. Step 3: Cross multiply
    710,382x = 980,327.16 × 392,430
  4. Step 4: Simplify right side
    710,382x = 384,709,787,398.80
  5. Step 5: Solve for x
    x = 384,709,787,398.80/710,382
  6. Step 6: Final answer
    x = 541,553.40

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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.