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Finding the Fourth Proportional to 402,167.45, 603,250.62 and 102,648.02

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Solution

The fourth proportional to 402,167.45, 603,250.62 and 102,648.02 is: 153,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,167.45 : 603,250.62 = 102,648.02 : x
  2. Step 2: Convert to fraction form
    402,167.45/603,250.62 = 102,648.02/x
  3. Step 3: Cross multiply
    402,167.45x = 603,250.62 × 102,648.02
  4. Step 4: Simplify right side
    402,167.45x = 61,922,478,690.52
  5. Step 5: Solve for x
    x = 61,922,478,690.52/402,167.45
  6. Step 6: Final answer
    x = 153,971.88

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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.