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Finding the Fourth Proportional to 298,539.76, 447,726.47 and 98,875.78

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Solution

The fourth proportional to 298,539.76, 447,726.47 and 98,875.78 is: 148,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,539.76 : 447,726.47 = 98,875.78 : x
  2. Step 2: Convert to fraction form
    298,539.76/447,726.47 = 98,875.78/x
  3. Step 3: Cross multiply
    298,539.76x = 447,726.47 × 98,875.78
  4. Step 4: Simplify right side
    298,539.76x = 44,269,303,947.90
  5. Step 5: Solve for x
    x = 44,269,303,947.90/298,539.76
  6. Step 6: Final answer
    x = 148,286.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.