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Finding the Fourth Proportional to 485,934, 729,017.91 and 153,510

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Solution

The fourth proportional to 485,934, 729,017.91 and 153,510 is: 230,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,934 : 729,017.91 = 153,510 : x
  2. Step 2: Convert to fraction form
    485,934/729,017.91 = 153,510/x
  3. Step 3: Cross multiply
    485,934x = 729,017.91 × 153,510
  4. Step 4: Simplify right side
    485,934x = 111,911,539,364.10
  5. Step 5: Solve for x
    x = 111,911,539,364.10/485,934
  6. Step 6: Final answer
    x = 230,301.93

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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.