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Finding the Fourth Proportional to 342,912.60, 514,004.40 and 165,303.90

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Solution

The fourth proportional to 342,912.60, 514,004.40 and 165,303.90 is: 247,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,912.60 : 514,004.40 = 165,303.90 : x
  2. Step 2: Convert to fraction form
    342,912.60/514,004.40 = 165,303.90/x
  3. Step 3: Cross multiply
    342,912.60x = 514,004.40 × 165,303.90
  4. Step 4: Simplify right side
    342,912.60x = 84,966,931,937.16
  5. Step 5: Solve for x
    x = 84,966,931,937.16/342,912.60
  6. Step 6: Final answer
    x = 247,780.14

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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.