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Finding the Fourth Proportional to 865,751.29, 1,297,494.45 and 465,530.29

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Solution

The fourth proportional to 865,751.29, 1,297,494.45 and 465,530.29 is: 697,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,751.29 : 1,297,494.45 = 465,530.29 : x
  2. Step 2: Convert to fraction form
    865,751.29/1,297,494.45 = 465,530.29/x
  3. Step 3: Cross multiply
    865,751.29x = 1,297,494.45 × 465,530.29
  4. Step 4: Simplify right side
    865,751.29x = 604,022,964,338.15
  5. Step 5: Solve for x
    x = 604,022,964,338.15/865,751.29
  6. Step 6: Final answer
    x = 697,686.48

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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.