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Finding the Fourth Proportional to 282,642.60, 424,655.10 and 212,658.60

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Solution

The fourth proportional to 282,642.60, 424,655.10 and 212,658.60 is: 319,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,642.60 : 424,655.10 = 212,658.60 : x
  2. Step 2: Convert to fraction form
    282,642.60/424,655.10 = 212,658.60/x
  3. Step 3: Cross multiply
    282,642.60x = 424,655.10 × 212,658.60
  4. Step 4: Simplify right side
    282,642.60x = 90,306,559,048.86
  5. Step 5: Solve for x
    x = 90,306,559,048.86/282,642.60
  6. Step 6: Final answer
    x = 319,507.95

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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.