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Finding the Fourth Proportional to 473,478.80, 709,296.60 and 285,933.20

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Solution

The fourth proportional to 473,478.80, 709,296.60 and 285,933.20 is: 428,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,478.80 : 709,296.60 = 285,933.20 : x
  2. Step 2: Convert to fraction form
    473,478.80/709,296.60 = 285,933.20/x
  3. Step 3: Cross multiply
    473,478.80x = 709,296.60 × 285,933.20
  4. Step 4: Simplify right side
    473,478.80x = 202,811,446,587.12
  5. Step 5: Solve for x
    x = 202,811,446,587.12/473,478.80
  6. Step 6: Final answer
    x = 428,343.25

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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.