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Finding the Fourth Proportional to 417,615.60, 626,423.40 and 311,327.40

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Solution

The fourth proportional to 417,615.60, 626,423.40 and 311,327.40 is: 466,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,615.60 : 626,423.40 = 311,327.40 : x
  2. Step 2: Convert to fraction form
    417,615.60/626,423.40 = 311,327.40/x
  3. Step 3: Cross multiply
    417,615.60x = 626,423.40 × 311,327.40
  4. Step 4: Simplify right side
    417,615.60x = 195,022,768,421.16
  5. Step 5: Solve for x
    x = 195,022,768,421.16/417,615.60
  6. Step 6: Final answer
    x = 466,991.10

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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.