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Finding the Fourth Proportional to 475,115.40, 711,290.70 and 288,030.60

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Solution

The fourth proportional to 475,115.40, 711,290.70 and 288,030.60 is: 431,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,115.40 : 711,290.70 = 288,030.60 : x
  2. Step 2: Convert to fraction form
    475,115.40/711,290.70 = 288,030.60/x
  3. Step 3: Cross multiply
    475,115.40x = 711,290.70 × 288,030.60
  4. Step 4: Simplify right side
    475,115.40x = 204,873,487,095.42
  5. Step 5: Solve for x
    x = 204,873,487,095.42/475,115.40
  6. Step 6: Final answer
    x = 431,207.84

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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.