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Finding the Fourth Proportional to 489,421.60, 675,406.42 and 274,566.28

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Solution

The fourth proportional to 489,421.60, 675,406.42 and 274,566.28 is: 378,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,421.60 : 675,406.42 = 274,566.28 : x
  2. Step 2: Convert to fraction form
    489,421.60/675,406.42 = 274,566.28/x
  3. Step 3: Cross multiply
    489,421.60x = 675,406.42 × 274,566.28
  4. Step 4: Simplify right side
    489,421.60x = 185,443,828,227.52
  5. Step 5: Solve for x
    x = 185,443,828,227.52/489,421.60
  6. Step 6: Final answer
    x = 378,904.05

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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.