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Finding the Fourth Proportional to 488,038.34, 732,183.71 and 285,805.23

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Solution

The fourth proportional to 488,038.34, 732,183.71 and 285,805.23 is: 428,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,038.34 : 732,183.71 = 285,805.23 : x
  2. Step 2: Convert to fraction form
    488,038.34/732,183.71 = 285,805.23/x
  3. Step 3: Cross multiply
    488,038.34x = 732,183.71 × 285,805.23
  4. Step 4: Simplify right side
    488,038.34x = 209,261,932,209.78
  5. Step 5: Solve for x
    x = 209,261,932,209.78/488,038.34
  6. Step 6: Final answer
    x = 428,781.75

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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.