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Finding the Fourth Proportional to 778,853, 1,074,817.20 and 421,157

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Solution

The fourth proportional to 778,853, 1,074,817.20 and 421,157 is: 581,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,853 : 1,074,817.20 = 421,157 : x
  2. Step 2: Convert to fraction form
    778,853/1,074,817.20 = 421,157/x
  3. Step 3: Cross multiply
    778,853x = 1,074,817.20 × 421,157
  4. Step 4: Simplify right side
    778,853x = 452,666,787,500.40
  5. Step 5: Solve for x
    x = 452,666,787,500.40/778,853
  6. Step 6: Final answer
    x = 581,196.69

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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.