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Finding the Fourth Proportional to 407,647.80, 611,471.70 and 314,335.80

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Solution

The fourth proportional to 407,647.80, 611,471.70 and 314,335.80 is: 471,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,647.80 : 611,471.70 = 314,335.80 : x
  2. Step 2: Convert to fraction form
    407,647.80/611,471.70 = 314,335.80/x
  3. Step 3: Cross multiply
    407,647.80x = 611,471.70 × 314,335.80
  4. Step 4: Simplify right side
    407,647.80x = 192,207,445,996.86
  5. Step 5: Solve for x
    x = 192,207,445,996.86/407,647.80
  6. Step 6: Final answer
    x = 471,503.70

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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.