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Finding the Fourth Proportional to 493,661.32, 740,520.64 and 138,702.92

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Solution

The fourth proportional to 493,661.32, 740,520.64 and 138,702.92 is: 208,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,661.32 : 740,520.64 = 138,702.92 : x
  2. Step 2: Convert to fraction form
    493,661.32/740,520.64 = 138,702.92/x
  3. Step 3: Cross multiply
    493,661.32x = 740,520.64 × 138,702.92
  4. Step 4: Simplify right side
    493,661.32x = 102,712,375,088.27
  5. Step 5: Solve for x
    x = 102,712,375,088.27/493,661.32
  6. Step 6: Final answer
    x = 208,062.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.