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Finding the Fourth Proportional to 509,405.50, 703,002.69 and 283,051

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Solution

The fourth proportional to 509,405.50, 703,002.69 and 283,051 is: 390,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,405.50 : 703,002.69 = 283,051 : x
  2. Step 2: Convert to fraction form
    509,405.50/703,002.69 = 283,051/x
  3. Step 3: Cross multiply
    509,405.50x = 703,002.69 × 283,051
  4. Step 4: Simplify right side
    509,405.50x = 198,985,614,407.19
  5. Step 5: Solve for x
    x = 198,985,614,407.19/509,405.50
  6. Step 6: Final answer
    x = 390,623.22

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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.