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Finding the Fourth Proportional to 390,693.85, 585,282.48 and 287,924.53

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Solution

The fourth proportional to 390,693.85, 585,282.48 and 287,924.53 is: 431,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,693.85 : 585,282.48 = 287,924.53 : x
  2. Step 2: Convert to fraction form
    390,693.85/585,282.48 = 287,924.53/x
  3. Step 3: Cross multiply
    390,693.85x = 585,282.48 × 287,924.53
  4. Step 4: Simplify right side
    390,693.85x = 168,517,182,971.23
  5. Step 5: Solve for x
    x = 168,517,182,971.23/390,693.85
  6. Step 6: Final answer
    x = 431,327.96

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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.