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Finding the Fourth Proportional to 652,003.74, 978,237 and 292,146.30

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Solution

The fourth proportional to 652,003.74, 978,237 and 292,146.30 is: 438,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,003.74 : 978,237 = 292,146.30 : x
  2. Step 2: Convert to fraction form
    652,003.74/978,237 = 292,146.30/x
  3. Step 3: Cross multiply
    652,003.74x = 978,237 × 292,146.30
  4. Step 4: Simplify right side
    652,003.74x = 285,788,320,073.10
  5. Step 5: Solve for x
    x = 285,788,320,073.10/652,003.74
  6. Step 6: Final answer
    x = 438,323.13

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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.