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Finding the Fourth Proportional to 778,950, 1,074,954.24 and 421,254

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Solution

The fourth proportional to 778,950, 1,074,954.24 and 421,254 is: 581,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,950 : 1,074,954.24 = 421,254 : x
  2. Step 2: Convert to fraction form
    778,950/1,074,954.24 = 421,254/x
  3. Step 3: Cross multiply
    778,950x = 1,074,954.24 × 421,254
  4. Step 4: Simplify right side
    778,950x = 452,828,773,416.96
  5. Step 5: Solve for x
    x = 452,828,773,416.96/778,950
  6. Step 6: Final answer
    x = 581,332.27

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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.