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Finding the Fourth Proportional to 402,113.15, 602,250.78 and 191,898.71

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Solution

The fourth proportional to 402,113.15, 602,250.78 and 191,898.71 is: 287,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,113.15 : 602,250.78 = 191,898.71 : x
  2. Step 2: Convert to fraction form
    402,113.15/602,250.78 = 191,898.71/x
  3. Step 3: Cross multiply
    402,113.15x = 602,250.78 × 191,898.71
  4. Step 4: Simplify right side
    402,113.15x = 115,571,147,778.49
  5. Step 5: Solve for x
    x = 115,571,147,778.49/402,113.15
  6. Step 6: Final answer
    x = 287,409.52

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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.