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Finding the Fourth Proportional to 659,729.07, 910,422.32 and 357,916.59

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Solution

The fourth proportional to 659,729.07, 910,422.32 and 357,916.59 is: 493,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,729.07 : 910,422.32 = 357,916.59 : x
  2. Step 2: Convert to fraction form
    659,729.07/910,422.32 = 357,916.59/x
  3. Step 3: Cross multiply
    659,729.07x = 910,422.32 × 357,916.59
  4. Step 4: Simplify right side
    659,729.07x = 325,855,250,444.71
  5. Step 5: Solve for x
    x = 325,855,250,444.71/659,729.07
  6. Step 6: Final answer
    x = 493,922.83

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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.