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Finding the Fourth Proportional to 369,909.76, 510,471.84 and 200,140.16

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Solution

The fourth proportional to 369,909.76, 510,471.84 and 200,140.16 is: 276,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,909.76 : 510,471.84 = 200,140.16 : x
  2. Step 2: Convert to fraction form
    369,909.76/510,471.84 = 200,140.16/x
  3. Step 3: Cross multiply
    369,909.76x = 510,471.84 × 200,140.16
  4. Step 4: Simplify right side
    369,909.76x = 102,165,915,733.09
  5. Step 5: Solve for x
    x = 102,165,915,733.09/369,909.76
  6. Step 6: Final answer
    x = 276,191.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.