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Finding the Fourth Proportional to 659,883.50, 910,641.66 and 358,077.50

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Solution

The fourth proportional to 659,883.50, 910,641.66 and 358,077.50 is: 494,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,883.50 : 910,641.66 = 358,077.50 : x
  2. Step 2: Convert to fraction form
    659,883.50/910,641.66 = 358,077.50/x
  3. Step 3: Cross multiply
    659,883.50x = 910,641.66 × 358,077.50
  4. Step 4: Simplify right side
    659,883.50x = 326,080,289,008.65
  5. Step 5: Solve for x
    x = 326,080,289,008.65/659,883.50
  6. Step 6: Final answer
    x = 494,148.27

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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.