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Finding the Fourth Proportional to 357,400.20, 535,905.90 and 147,059.40

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Solution

The fourth proportional to 357,400.20, 535,905.90 and 147,059.40 is: 220,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,400.20 : 535,905.90 = 147,059.40 : x
  2. Step 2: Convert to fraction form
    357,400.20/535,905.90 = 147,059.40/x
  3. Step 3: Cross multiply
    357,400.20x = 535,905.90 × 147,059.40
  4. Step 4: Simplify right side
    357,400.20x = 78,810,000,110.46
  5. Step 5: Solve for x
    x = 78,810,000,110.46/357,400.20
  6. Step 6: Final answer
    x = 220,509.11

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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.