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Finding the Fourth Proportional to 316,697.40, 475,052.16 and 103,465.90

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Solution

The fourth proportional to 316,697.40, 475,052.16 and 103,465.90 is: 155,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,697.40 : 475,052.16 = 103,465.90 : x
  2. Step 2: Convert to fraction form
    316,697.40/475,052.16 = 103,465.90/x
  3. Step 3: Cross multiply
    316,697.40x = 475,052.16 × 103,465.90
  4. Step 4: Simplify right side
    316,697.40x = 49,151,699,281.34
  5. Step 5: Solve for x
    x = 49,151,699,281.34/316,697.40
  6. Step 6: Final answer
    x = 155,200.83

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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.