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Finding the Fourth Proportional to 715,851, 987,062.76 and 457,386.48

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Solution

The fourth proportional to 715,851, 987,062.76 and 457,386.48 is: 630,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,851 : 987,062.76 = 457,386.48 : x
  2. Step 2: Convert to fraction form
    715,851/987,062.76 = 457,386.48/x
  3. Step 3: Cross multiply
    715,851x = 987,062.76 × 457,386.48
  4. Step 4: Simplify right side
    715,851x = 451,469,161,335.49
  5. Step 5: Solve for x
    x = 451,469,161,335.49/715,851
  6. Step 6: Final answer
    x = 630,674.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.