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Finding the Fourth Proportional to 458,138.80, 686,041.80 and 437,143.60

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Solution

The fourth proportional to 458,138.80, 686,041.80 and 437,143.60 is: 654,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,138.80 : 686,041.80 = 437,143.60 : x
  2. Step 2: Convert to fraction form
    458,138.80/686,041.80 = 437,143.60/x
  3. Step 3: Cross multiply
    458,138.80x = 686,041.80 × 437,143.60
  4. Step 4: Simplify right side
    458,138.80x = 299,898,782,202.48
  5. Step 5: Solve for x
    x = 299,898,782,202.48/458,138.80
  6. Step 6: Final answer
    x = 654,602.45

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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.