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Finding the Fourth Proportional to 285,403,498.40, 428,105,247.60 and 285,403,498.40

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Solution

The fourth proportional to 285,403,498.40, 428,105,247.60 and 285,403,498.40 is: 428,105,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,403,498.40 : 428,105,247.60 = 285,403,498.40 : x
  2. Step 2: Convert to fraction form
    285,403,498.40/428,105,247.60 = 285,403,498.40/x
  3. Step 3: Cross multiply
    285,403,498.40x = 428,105,247.60 × 285,403,498.40
  4. Step 4: Simplify right side
    285,403,498.40x = 122,182,735,348,438,208
  5. Step 5: Solve for x
    x = 122,182,735,348,438,208/285,403,498.40
  6. Step 6: Final answer
    x = 428,105,247.60

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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.