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Finding the Fourth Proportional to 291,924.60, 402,510.78 and 205,897.74

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Solution

The fourth proportional to 291,924.60, 402,510.78 and 205,897.74 is: 283,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,924.60 : 402,510.78 = 205,897.74 : x
  2. Step 2: Convert to fraction form
    291,924.60/402,510.78 = 205,897.74/x
  3. Step 3: Cross multiply
    291,924.60x = 402,510.78 × 205,897.74
  4. Step 4: Simplify right side
    291,924.60x = 82,876,059,927.64
  5. Step 5: Solve for x
    x = 82,876,059,927.64/291,924.60
  6. Step 6: Final answer
    x = 283,895.43

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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.