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Finding the Fourth Proportional to 475,655.30, 713,406.98 and 138,617.12

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Solution

The fourth proportional to 475,655.30, 713,406.98 and 138,617.12 is: 207,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,655.30 : 713,406.98 = 138,617.12 : x
  2. Step 2: Convert to fraction form
    475,655.30/713,406.98 = 138,617.12/x
  3. Step 3: Cross multiply
    475,655.30x = 713,406.98 × 138,617.12
  4. Step 4: Simplify right side
    475,655.30x = 98,890,420,955.50
  5. Step 5: Solve for x
    x = 98,890,420,955.50/475,655.30
  6. Step 6: Final answer
    x = 207,903.54

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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.