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Finding the Fourth Proportional to 423,434.72, 635,152.97 and 297,637.88

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Solution

The fourth proportional to 423,434.72, 635,152.97 and 297,637.88 is: 446,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,434.72 : 635,152.97 = 297,637.88 : x
  2. Step 2: Convert to fraction form
    423,434.72/635,152.97 = 297,637.88/x
  3. Step 3: Cross multiply
    423,434.72x = 635,152.97 × 297,637.88
  4. Step 4: Simplify right side
    423,434.72x = 189,045,581,034.83
  5. Step 5: Solve for x
    x = 189,045,581,034.83/423,434.72
  6. Step 6: Final answer
    x = 446,457.44

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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.