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Finding the Fourth Proportional to 652,015.74, 978,255 and 292,158.30

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Solution

The fourth proportional to 652,015.74, 978,255 and 292,158.30 is: 438,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,015.74 : 978,255 = 292,158.30 : x
  2. Step 2: Convert to fraction form
    652,015.74/978,255 = 292,158.30/x
  3. Step 3: Cross multiply
    652,015.74x = 978,255 × 292,158.30
  4. Step 4: Simplify right side
    652,015.74x = 285,805,317,766.50
  5. Step 5: Solve for x
    x = 285,805,317,766.50/652,015.74
  6. Step 6: Final answer
    x = 438,341.13

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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.