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Finding the Fourth Proportional to 261,012.60, 390,644.10 and 182,280.60

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Solution

The fourth proportional to 261,012.60, 390,644.10 and 182,280.60 is: 272,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,012.60 : 390,644.10 = 182,280.60 : x
  2. Step 2: Convert to fraction form
    261,012.60/390,644.10 = 182,280.60/x
  3. Step 3: Cross multiply
    261,012.60x = 390,644.10 × 182,280.60
  4. Step 4: Simplify right side
    261,012.60x = 71,206,840,934.46
  5. Step 5: Solve for x
    x = 71,206,840,934.46/261,012.60
  6. Step 6: Final answer
    x = 272,809.98

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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.