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Finding the Fourth Proportional to 389,498.43, 584,509.47 and 136,780.86

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Solution

The fourth proportional to 389,498.43, 584,509.47 and 136,780.86 is: 205,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,498.43 : 584,509.47 = 136,780.86 : x
  2. Step 2: Convert to fraction form
    389,498.43/584,509.47 = 136,780.86/x
  3. Step 3: Cross multiply
    389,498.43x = 584,509.47 × 136,780.86
  4. Step 4: Simplify right side
    389,498.43x = 79,949,707,984.74
  5. Step 5: Solve for x
    x = 79,949,707,984.74/389,498.43
  6. Step 6: Final answer
    x = 205,263.24

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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.