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Finding the Fourth Proportional to 442,000.17, 609,800.24 and 289,125.63

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Solution

The fourth proportional to 442,000.17, 609,800.24 and 289,125.63 is: 398,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,000.17 : 609,800.24 = 289,125.63 : x
  2. Step 2: Convert to fraction form
    442,000.17/609,800.24 = 289,125.63/x
  3. Step 3: Cross multiply
    442,000.17x = 609,800.24 × 289,125.63
  4. Step 4: Simplify right side
    442,000.17x = 176,308,877,118.52
  5. Step 5: Solve for x
    x = 176,308,877,118.52/442,000.17
  6. Step 6: Final answer
    x = 398,888.71

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Double scale
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1.5x scale

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.