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Finding the Fourth Proportional to 477,927.60, 716,891.40 and 457,450.80

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Solution

The fourth proportional to 477,927.60, 716,891.40 and 457,450.80 is: 686,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,927.60 : 716,891.40 = 457,450.80 : x
  2. Step 2: Convert to fraction form
    477,927.60/716,891.40 = 457,450.80/x
  3. Step 3: Cross multiply
    477,927.60x = 716,891.40 × 457,450.80
  4. Step 4: Simplify right side
    477,927.60x = 327,942,544,443.12
  5. Step 5: Solve for x
    x = 327,942,544,443.12/477,927.60
  6. Step 6: Final answer
    x = 686,176.20

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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.