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Finding the Fourth Proportional to 473,480.80, 709,299.60 and 285,935.20

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Solution

The fourth proportional to 473,480.80, 709,299.60 and 285,935.20 is: 428,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,480.80 : 709,299.60 = 285,935.20 : x
  2. Step 2: Convert to fraction form
    473,480.80/709,299.60 = 285,935.20/x
  3. Step 3: Cross multiply
    473,480.80x = 709,299.60 × 285,935.20
  4. Step 4: Simplify right side
    473,480.80x = 202,813,722,985.92
  5. Step 5: Solve for x
    x = 202,813,722,985.92/473,480.80
  6. Step 6: Final answer
    x = 428,346.25

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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.