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Finding the Fourth Proportional to 659,908, 910,673.85 and 358,102

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Solution

The fourth proportional to 659,908, 910,673.85 and 358,102 is: 494,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,908 : 910,673.85 = 358,102 : x
  2. Step 2: Convert to fraction form
    659,908/910,673.85 = 358,102/x
  3. Step 3: Cross multiply
    659,908x = 910,673.85 × 358,102
  4. Step 4: Simplify right side
    659,908x = 326,114,127,032.70
  5. Step 5: Solve for x
    x = 326,114,127,032.70/659,908
  6. Step 6: Final answer
    x = 494,181.20

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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.