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Finding the Fourth Proportional to 659,532.78, 989,370.86 and 210,148.02

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Solution

The fourth proportional to 659,532.78, 989,370.86 and 210,148.02 is: 315,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,532.78 : 989,370.86 = 210,148.02 : x
  2. Step 2: Convert to fraction form
    659,532.78/989,370.86 = 210,148.02/x
  3. Step 3: Cross multiply
    659,532.78x = 989,370.86 × 210,148.02
  4. Step 4: Simplify right side
    659,532.78x = 207,914,326,223.96
  5. Step 5: Solve for x
    x = 207,914,326,223.96/659,532.78
  6. Step 6: Final answer
    x = 315,244.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.