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Finding the Fourth Proportional to 457,409.40, 686,114.10 and 141,898.20

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Solution

The fourth proportional to 457,409.40, 686,114.10 and 141,898.20 is: 212,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,409.40 : 686,114.10 = 141,898.20 : x
  2. Step 2: Convert to fraction form
    457,409.40/686,114.10 = 141,898.20/x
  3. Step 3: Cross multiply
    457,409.40x = 686,114.10 × 141,898.20
  4. Step 4: Simplify right side
    457,409.40x = 97,358,355,784.62
  5. Step 5: Solve for x
    x = 97,358,355,784.62/457,409.40
  6. Step 6: Final answer
    x = 212,847.30

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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.