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Finding the Fourth Proportional to 652,023.30, 978,034.95 and 440,516.10

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Solution

The fourth proportional to 652,023.30, 978,034.95 and 440,516.10 is: 660,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,023.30 : 978,034.95 = 440,516.10 : x
  2. Step 2: Convert to fraction form
    652,023.30/978,034.95 = 440,516.10/x
  3. Step 3: Cross multiply
    652,023.30x = 978,034.95 × 440,516.10
  4. Step 4: Simplify right side
    652,023.30x = 430,840,141,837.70
  5. Step 5: Solve for x
    x = 430,840,141,837.70/652,023.30
  6. Step 6: Final answer
    x = 660,774.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.