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Finding the Fourth Proportional to 402,118.16, 602,947.56 and 165,266

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Solution

The fourth proportional to 402,118.16, 602,947.56 and 165,266 is: 247,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,118.16 : 602,947.56 = 165,266 : x
  2. Step 2: Convert to fraction form
    402,118.16/602,947.56 = 165,266/x
  3. Step 3: Cross multiply
    402,118.16x = 602,947.56 × 165,266
  4. Step 4: Simplify right side
    402,118.16x = 99,646,731,450.96
  5. Step 5: Solve for x
    x = 99,646,731,450.96/402,118.16
  6. Step 6: Final answer
    x = 247,804.60

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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.