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Finding the Fourth Proportional to 487,034.32, 671,672.25 and 305,763.14

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Solution

The fourth proportional to 487,034.32, 671,672.25 and 305,763.14 is: 421,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,034.32 : 671,672.25 = 305,763.14 : x
  2. Step 2: Convert to fraction form
    487,034.32/671,672.25 = 305,763.14/x
  3. Step 3: Cross multiply
    487,034.32x = 671,672.25 × 305,763.14
  4. Step 4: Simplify right side
    487,034.32x = 205,372,616,210.87
  5. Step 5: Solve for x
    x = 205,372,616,210.87/487,034.32
  6. Step 6: Final answer
    x = 421,679.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.