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Finding the Fourth Proportional to 487,963.65, 731,438.02 and 188,649.81

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Solution

The fourth proportional to 487,963.65, 731,438.02 and 188,649.81 is: 282,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,963.65 : 731,438.02 = 188,649.81 : x
  2. Step 2: Convert to fraction form
    487,963.65/731,438.02 = 188,649.81/x
  3. Step 3: Cross multiply
    487,963.65x = 731,438.02 × 188,649.81
  4. Step 4: Simplify right side
    487,963.65x = 137,985,641,671.18
  5. Step 5: Solve for x
    x = 137,985,641,671.18/487,963.65
  6. Step 6: Final answer
    x = 282,778.53

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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.