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Finding the Fourth Proportional to 570,902.31, 787,838.54 and 309,252.69

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Solution

The fourth proportional to 570,902.31, 787,838.54 and 309,252.69 is: 426,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,902.31 : 787,838.54 = 309,252.69 : x
  2. Step 2: Convert to fraction form
    570,902.31/787,838.54 = 309,252.69/x
  3. Step 3: Cross multiply
    570,902.31x = 787,838.54 × 309,252.69
  4. Step 4: Simplify right side
    570,902.31x = 243,641,186,234.41
  5. Step 5: Solve for x
    x = 243,641,186,234.41/570,902.31
  6. Step 6: Final answer
    x = 426,765.11

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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.