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Finding the Fourth Proportional to 417,602.60, 626,403.90 and 311,314.40

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Solution

The fourth proportional to 417,602.60, 626,403.90 and 311,314.40 is: 466,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,602.60 : 626,403.90 = 311,314.40 : x
  2. Step 2: Convert to fraction form
    417,602.60/626,403.90 = 311,314.40/x
  3. Step 3: Cross multiply
    417,602.60x = 626,403.90 × 311,314.40
  4. Step 4: Simplify right side
    417,602.60x = 195,008,554,286.16
  5. Step 5: Solve for x
    x = 195,008,554,286.16/417,602.60
  6. Step 6: Final answer
    x = 466,971.60

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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.