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Finding the Fourth Proportional to 781,384, 1,078,310.40 and 423,688

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Solution

The fourth proportional to 781,384, 1,078,310.40 and 423,688 is: 584,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,384 : 1,078,310.40 = 423,688 : x
  2. Step 2: Convert to fraction form
    781,384/1,078,310.40 = 423,688/x
  3. Step 3: Cross multiply
    781,384x = 1,078,310.40 × 423,688
  4. Step 4: Simplify right side
    781,384x = 456,867,176,755.20
  5. Step 5: Solve for x
    x = 456,867,176,755.20/781,384
  6. Step 6: Final answer
    x = 584,689.70

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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.