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Finding the Fourth Proportional to 506,535.40, 759,803.10 and 457,546.60

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Solution

The fourth proportional to 506,535.40, 759,803.10 and 457,546.60 is: 686,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,535.40 : 759,803.10 = 457,546.60 : x
  2. Step 2: Convert to fraction form
    506,535.40/759,803.10 = 457,546.60/x
  3. Step 3: Cross multiply
    506,535.40x = 759,803.10 × 457,546.60
  4. Step 4: Simplify right side
    506,535.40x = 347,645,325,074.46
  5. Step 5: Solve for x
    x = 347,645,325,074.46/506,535.40
  6. Step 6: Final answer
    x = 686,319.90

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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.