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Finding the Fourth Proportional to 509,447.86, 703,044.42 and 280,030.20

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Solution

The fourth proportional to 509,447.86, 703,044.42 and 280,030.20 is: 386,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,447.86 : 703,044.42 = 280,030.20 : x
  2. Step 2: Convert to fraction form
    509,447.86/703,044.42 = 280,030.20/x
  3. Step 3: Cross multiply
    509,447.86x = 703,044.42 × 280,030.20
  4. Step 4: Simplify right side
    509,447.86x = 196,873,669,541.48
  5. Step 5: Solve for x
    x = 196,873,669,541.48/509,447.86
  6. Step 6: Final answer
    x = 386,445.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.