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Finding the Fourth Proportional to 488,015.27, 732,149.10 and 285,782.16

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Solution

The fourth proportional to 488,015.27, 732,149.10 and 285,782.16 is: 428,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,015.27 : 732,149.10 = 285,782.16 : x
  2. Step 2: Convert to fraction form
    488,015.27/732,149.10 = 285,782.16/x
  3. Step 3: Cross multiply
    488,015.27x = 732,149.10 × 285,782.16
  4. Step 4: Simplify right side
    488,015.27x = 209,235,151,240.06
  5. Step 5: Solve for x
    x = 209,235,151,240.06/488,015.27
  6. Step 6: Final answer
    x = 428,747.14

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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.