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Finding the Fourth Proportional to 502,815.30, 754,259.40 and 302,704.80

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Solution

The fourth proportional to 502,815.30, 754,259.40 and 302,704.80 is: 454,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,815.30 : 754,259.40 = 302,704.80 : x
  2. Step 2: Convert to fraction form
    502,815.30/754,259.40 = 302,704.80/x
  3. Step 3: Cross multiply
    502,815.30x = 754,259.40 × 302,704.80
  4. Step 4: Simplify right side
    502,815.30x = 228,317,940,825.12
  5. Step 5: Solve for x
    x = 228,317,940,825.12/502,815.30
  6. Step 6: Final answer
    x = 454,079.14

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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.