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Finding the Fourth Proportional to 514,340.80, 770,474.40 and 292,465.60

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Solution

The fourth proportional to 514,340.80, 770,474.40 and 292,465.60 is: 438,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,340.80 : 770,474.40 = 292,465.60 : x
  2. Step 2: Convert to fraction form
    514,340.80/770,474.40 = 292,465.60/x
  3. Step 3: Cross multiply
    514,340.80x = 770,474.40 × 292,465.60
  4. Step 4: Simplify right side
    514,340.80x = 225,337,257,680.64
  5. Step 5: Solve for x
    x = 225,337,257,680.64/514,340.80
  6. Step 6: Final answer
    x = 438,108.85

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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.