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Finding the Fourth Proportional to 487,816.65, 731,304.47 and 188,507.25

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Solution

The fourth proportional to 487,816.65, 731,304.47 and 188,507.25 is: 282,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,816.65 : 731,304.47 = 188,507.25 : x
  2. Step 2: Convert to fraction form
    487,816.65/731,304.47 = 188,507.25/x
  3. Step 3: Cross multiply
    487,816.65x = 731,304.47 × 188,507.25
  4. Step 4: Simplify right side
    487,816.65x = 137,856,193,609.87
  5. Step 5: Solve for x
    x = 137,856,193,609.87/487,816.65
  6. Step 6: Final answer
    x = 282,598.38

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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.