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Finding the Fourth Proportional to 640,923.16, 960,543.78 and 471,651.16

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Solution

The fourth proportional to 640,923.16, 960,543.78 and 471,651.16 is: 706,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,923.16 : 960,543.78 = 471,651.16 : x
  2. Step 2: Convert to fraction form
    640,923.16/960,543.78 = 471,651.16/x
  3. Step 3: Cross multiply
    640,923.16x = 960,543.78 × 471,651.16
  4. Step 4: Simplify right side
    640,923.16x = 453,041,588,067.79
  5. Step 5: Solve for x
    x = 453,041,588,067.79/640,923.16
  6. Step 6: Final answer
    x = 706,857.88

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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.