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Finding the Fourth Proportional to 715,266, 987,031.80 and 428,730.48

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Solution

The fourth proportional to 715,266, 987,031.80 and 428,730.48 is: 591,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,266 : 987,031.80 = 428,730.48 : x
  2. Step 2: Convert to fraction form
    715,266/987,031.80 = 428,730.48/x
  3. Step 3: Cross multiply
    715,266x = 987,031.80 × 428,730.48
  4. Step 4: Simplify right side
    715,266x = 423,170,617,389.26
  5. Step 5: Solve for x
    x = 423,170,617,389.26/715,266
  6. Step 6: Final answer
    x = 591,626.92

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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.