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Finding the Fourth Proportional to 551,802.71, 827,695.85 and 152,434.64

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Solution

The fourth proportional to 551,802.71, 827,695.85 and 152,434.64 is: 228,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,802.71 : 827,695.85 = 152,434.64 : x
  2. Step 2: Convert to fraction form
    551,802.71/827,695.85 = 152,434.64/x
  3. Step 3: Cross multiply
    551,802.71x = 827,695.85 × 152,434.64
  4. Step 4: Simplify right side
    551,802.71x = 126,169,514,023.59
  5. Step 5: Solve for x
    x = 126,169,514,023.59/551,802.71
  6. Step 6: Final answer
    x = 228,649.68

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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.