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Finding the Fourth Proportional to 472,912.60, 709,368.90 and 447,251.80

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Solution

The fourth proportional to 472,912.60, 709,368.90 and 447,251.80 is: 670,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,912.60 : 709,368.90 = 447,251.80 : x
  2. Step 2: Convert to fraction form
    472,912.60/709,368.90 = 447,251.80/x
  3. Step 3: Cross multiply
    472,912.60x = 709,368.90 × 447,251.80
  4. Step 4: Simplify right side
    472,912.60x = 317,266,517,389.02
  5. Step 5: Solve for x
    x = 317,266,517,389.02/472,912.60
  6. Step 6: Final answer
    x = 670,877.70

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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.