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Finding the Fourth Proportional to 906,498.64, 1,359,747 and 431,744.08

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Solution

The fourth proportional to 906,498.64, 1,359,747 and 431,744.08 is: 647,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,498.64 : 1,359,747 = 431,744.08 : x
  2. Step 2: Convert to fraction form
    906,498.64/1,359,747 = 431,744.08/x
  3. Step 3: Cross multiply
    906,498.64x = 1,359,747 × 431,744.08
  4. Step 4: Simplify right side
    906,498.64x = 587,062,717,547.76
  5. Step 5: Solve for x
    x = 587,062,717,547.76/906,498.64
  6. Step 6: Final answer
    x = 647,615.66

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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.