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Finding the Fourth Proportional to 781,398, 1,078,335.75 and 423,702

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Solution

The fourth proportional to 781,398, 1,078,335.75 and 423,702 is: 584,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,398 : 1,078,335.75 = 423,702 : x
  2. Step 2: Convert to fraction form
    781,398/1,078,335.75 = 423,702/x
  3. Step 3: Cross multiply
    781,398x = 1,078,335.75 × 423,702
  4. Step 4: Simplify right side
    781,398x = 456,893,013,946.50
  5. Step 5: Solve for x
    x = 456,893,013,946.50/781,398
  6. Step 6: Final answer
    x = 584,712.29

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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.