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Finding the Fourth Proportional to 487,688.27, 731,594.71 and 188,254.48

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Solution

The fourth proportional to 487,688.27, 731,594.71 and 188,254.48 is: 282,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,688.27 : 731,594.71 = 188,254.48 : x
  2. Step 2: Convert to fraction form
    487,688.27/731,594.71 = 188,254.48/x
  3. Step 3: Cross multiply
    487,688.27x = 731,594.71 × 188,254.48
  4. Step 4: Simplify right side
    487,688.27x = 137,725,981,701.80
  5. Step 5: Solve for x
    x = 137,725,981,701.80/487,688.27
  6. Step 6: Final answer
    x = 282,405.77

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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.