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Finding the Fourth Proportional to 554,746.69, 765,508.17 and 313,051.78

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Solution

The fourth proportional to 554,746.69, 765,508.17 and 313,051.78 is: 431,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,746.69 : 765,508.17 = 313,051.78 : x
  2. Step 2: Convert to fraction form
    554,746.69/765,508.17 = 313,051.78/x
  3. Step 3: Cross multiply
    554,746.69x = 765,508.17 × 313,051.78
  4. Step 4: Simplify right side
    554,746.69x = 239,643,695,223.04
  5. Step 5: Solve for x
    x = 239,643,695,223.04/554,746.69
  6. Step 6: Final answer
    x = 431,987.61

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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.