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Finding the Fourth Proportional to 488,312.28, 732,701.70 and 311,019.48

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Solution

The fourth proportional to 488,312.28, 732,701.70 and 311,019.48 is: 466,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,312.28 : 732,701.70 = 311,019.48 : x
  2. Step 2: Convert to fraction form
    488,312.28/732,701.70 = 311,019.48/x
  3. Step 3: Cross multiply
    488,312.28x = 732,701.70 × 311,019.48
  4. Step 4: Simplify right side
    488,312.28x = 227,884,501,729.12
  5. Step 5: Solve for x
    x = 227,884,501,729.12/488,312.28
  6. Step 6: Final answer
    x = 466,677.80

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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.