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Finding the Fourth Proportional to 661,395.24, 912,919.70 and 431,987.64

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Solution

The fourth proportional to 661,395.24, 912,919.70 and 431,987.64 is: 596,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,395.24 : 912,919.70 = 431,987.64 : x
  2. Step 2: Convert to fraction form
    661,395.24/912,919.70 = 431,987.64/x
  3. Step 3: Cross multiply
    661,395.24x = 912,919.70 × 431,987.64
  4. Step 4: Simplify right side
    661,395.24x = 394,370,026,712.51
  5. Step 5: Solve for x
    x = 394,370,026,712.51/661,395.24
  6. Step 6: Final answer
    x = 596,269.83

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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.