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Finding the Fourth Proportional to 778,707, 1,074,617.28 and 421,011

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Solution

The fourth proportional to 778,707, 1,074,617.28 and 421,011 is: 580,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,707 : 1,074,617.28 = 421,011 : x
  2. Step 2: Convert to fraction form
    778,707/1,074,617.28 = 421,011/x
  3. Step 3: Cross multiply
    778,707x = 1,074,617.28 × 421,011
  4. Step 4: Simplify right side
    778,707x = 452,425,695,670.08
  5. Step 5: Solve for x
    x = 452,425,695,670.08/778,707
  6. Step 6: Final answer
    x = 580,996.06

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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.