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Finding the Fourth Proportional to 461,581.28, 692,397.12 and 146,014.72

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Solution

The fourth proportional to 461,581.28, 692,397.12 and 146,014.72 is: 219,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,581.28 : 692,397.12 = 146,014.72 : x
  2. Step 2: Convert to fraction form
    461,581.28/692,397.12 = 146,014.72/x
  3. Step 3: Cross multiply
    461,581.28x = 692,397.12 × 146,014.72
  4. Step 4: Simplify right side
    461,581.28x = 101,100,171,605.61
  5. Step 5: Solve for x
    x = 101,100,171,605.61/461,581.28
  6. Step 6: Final answer
    x = 219,030.05

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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.