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Finding the Fourth Proportional to 542,002.04, 812,709.84 and 430,400.24

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Solution

The fourth proportional to 542,002.04, 812,709.84 and 430,400.24 is: 645,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,002.04 : 812,709.84 = 430,400.24 : x
  2. Step 2: Convert to fraction form
    542,002.04/812,709.84 = 430,400.24/x
  3. Step 3: Cross multiply
    542,002.04x = 812,709.84 × 430,400.24
  4. Step 4: Simplify right side
    542,002.04x = 349,790,510,186.36
  5. Step 5: Solve for x
    x = 349,790,510,186.36/542,002.04
  6. Step 6: Final answer
    x = 645,367.52

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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.