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Finding the Fourth Proportional to 282,470.60, 423,312.24 and 212,267.90

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Solution

The fourth proportional to 282,470.60, 423,312.24 and 212,267.90 is: 318,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,470.60 : 423,312.24 = 212,267.90 : x
  2. Step 2: Convert to fraction form
    282,470.60/423,312.24 = 212,267.90/x
  3. Step 3: Cross multiply
    282,470.60x = 423,312.24 × 212,267.90
  4. Step 4: Simplify right side
    282,470.60x = 89,855,600,229.10
  5. Step 5: Solve for x
    x = 89,855,600,229.10/282,470.60
  6. Step 6: Final answer
    x = 318,106.03

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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.