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Finding the Fourth Proportional to 501,731.64, 692,279.88 and 297,849.78

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Solution

The fourth proportional to 501,731.64, 692,279.88 and 297,849.78 is: 410,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,731.64 : 692,279.88 = 297,849.78 : x
  2. Step 2: Convert to fraction form
    501,731.64/692,279.88 = 297,849.78/x
  3. Step 3: Cross multiply
    501,731.64x = 692,279.88 × 297,849.78
  4. Step 4: Simplify right side
    501,731.64x = 206,195,409,956.43
  5. Step 5: Solve for x
    x = 206,195,409,956.43/501,731.64
  6. Step 6: Final answer
    x = 410,967.52

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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.