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Finding the Fourth Proportional to 410,139.54, 565,978.86 and 240,370.02

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Solution

The fourth proportional to 410,139.54, 565,978.86 and 240,370.02 is: 331,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,139.54 : 565,978.86 = 240,370.02 : x
  2. Step 2: Convert to fraction form
    410,139.54/565,978.86 = 240,370.02/x
  3. Step 3: Cross multiply
    410,139.54x = 565,978.86 × 240,370.02
  4. Step 4: Simplify right side
    410,139.54x = 136,044,349,897.78
  5. Step 5: Solve for x
    x = 136,044,349,897.78/410,139.54
  6. Step 6: Final answer
    x = 331,702.60

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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.