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Finding the Fourth Proportional to 487,605.69, 731,441.34 and 188,088.75

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Solution

The fourth proportional to 487,605.69, 731,441.34 and 188,088.75 is: 282,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,605.69 : 731,441.34 = 188,088.75 : x
  2. Step 2: Convert to fraction form
    487,605.69/731,441.34 = 188,088.75/x
  3. Step 3: Cross multiply
    487,605.69x = 731,441.34 × 188,088.75
  4. Step 4: Simplify right side
    487,605.69x = 137,575,886,398.48
  5. Step 5: Solve for x
    x = 137,575,886,398.48/487,605.69
  6. Step 6: Final answer
    x = 282,145.78

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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.