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Finding the Fourth Proportional to 661,564.95, 992,080.29 and 256,543.90

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Solution

The fourth proportional to 661,564.95, 992,080.29 and 256,543.90 is: 384,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,564.95 : 992,080.29 = 256,543.90 : x
  2. Step 2: Convert to fraction form
    661,564.95/992,080.29 = 256,543.90/x
  3. Step 3: Cross multiply
    661,564.95x = 992,080.29 × 256,543.90
  4. Step 4: Simplify right side
    661,564.95x = 254,512,146,709.73
  5. Step 5: Solve for x
    x = 254,512,146,709.73/661,564.95
  6. Step 6: Final answer
    x = 384,712.26

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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.