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Finding the Fourth Proportional to 778,851, 1,074,814.44 and 421,155

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Solution

The fourth proportional to 778,851, 1,074,814.44 and 421,155 is: 581,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,851 : 1,074,814.44 = 421,155 : x
  2. Step 2: Convert to fraction form
    778,851/1,074,814.44 = 421,155/x
  3. Step 3: Cross multiply
    778,851x = 1,074,814.44 × 421,155
  4. Step 4: Simplify right side
    778,851x = 452,663,475,478.20
  5. Step 5: Solve for x
    x = 452,663,475,478.20/778,851
  6. Step 6: Final answer
    x = 581,193.93

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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.