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Finding the Fourth Proportional to 459,138.80, 688,708.20 and 347,164.40

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Solution

The fourth proportional to 459,138.80, 688,708.20 and 347,164.40 is: 520,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,138.80 : 688,708.20 = 347,164.40 : x
  2. Step 2: Convert to fraction form
    459,138.80/688,708.20 = 347,164.40/x
  3. Step 3: Cross multiply
    459,138.80x = 688,708.20 × 347,164.40
  4. Step 4: Simplify right side
    459,138.80x = 239,094,969,028.08
  5. Step 5: Solve for x
    x = 239,094,969,028.08/459,138.80
  6. Step 6: Final answer
    x = 520,746.60

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Similar ratio
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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.