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Finding the Fourth Proportional to 262,213.90, 393,320.85 and 156,978.70

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Solution

The fourth proportional to 262,213.90, 393,320.85 and 156,978.70 is: 235,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,213.90 : 393,320.85 = 156,978.70 : x
  2. Step 2: Convert to fraction form
    262,213.90/393,320.85 = 156,978.70/x
  3. Step 3: Cross multiply
    262,213.90x = 393,320.85 × 156,978.70
  4. Step 4: Simplify right side
    262,213.90x = 61,742,995,715.90
  5. Step 5: Solve for x
    x = 61,742,995,715.90/262,213.90
  6. Step 6: Final answer
    x = 235,468.05

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1.5x scale

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.