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Finding the Fourth Proportional to 714,256.48, 985,702.25 and 391,978.13

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Solution

The fourth proportional to 714,256.48, 985,702.25 and 391,978.13 is: 540,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,256.48 : 985,702.25 = 391,978.13 : x
  2. Step 2: Convert to fraction form
    714,256.48/985,702.25 = 391,978.13/x
  3. Step 3: Cross multiply
    714,256.48x = 985,702.25 × 391,978.13
  4. Step 4: Simplify right side
    714,256.48x = 386,373,722,731.90
  5. Step 5: Solve for x
    x = 386,373,722,731.90/714,256.48
  6. Step 6: Final answer
    x = 540,945.36

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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.