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Finding the Fourth Proportional to 691,924, 954,037.20 and 488,008.48

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Solution

The fourth proportional to 691,924, 954,037.20 and 488,008.48 is: 672,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,924 : 954,037.20 = 488,008.48 : x
  2. Step 2: Convert to fraction form
    691,924/954,037.20 = 488,008.48/x
  3. Step 3: Cross multiply
    691,924x = 954,037.20 × 488,008.48
  4. Step 4: Simplify right side
    691,924x = 465,578,243,835.46
  5. Step 5: Solve for x
    x = 465,578,243,835.46/691,924
  6. Step 6: Final answer
    x = 672,874.83

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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.