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Finding the Fourth Proportional to 442,912.65, 664,368.98 and 425,416.65

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Solution

The fourth proportional to 442,912.65, 664,368.98 and 425,416.65 is: 638,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,912.65 : 664,368.98 = 425,416.65 : x
  2. Step 2: Convert to fraction form
    442,912.65/664,368.98 = 425,416.65/x
  3. Step 3: Cross multiply
    442,912.65x = 664,368.98 × 425,416.65
  4. Step 4: Simplify right side
    442,912.65x = 282,633,623,708.43
  5. Step 5: Solve for x
    x = 282,633,623,708.43/442,912.65
  6. Step 6: Final answer
    x = 638,124.98

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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.