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Finding the Fourth Proportional to 298,510.51, 447,824.85 and 85,280.26

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Solution

The fourth proportional to 298,510.51, 447,824.85 and 85,280.26 is: 127,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,510.51 : 447,824.85 = 85,280.26 : x
  2. Step 2: Convert to fraction form
    298,510.51/447,824.85 = 85,280.26/x
  3. Step 3: Cross multiply
    298,510.51x = 447,824.85 × 85,280.26
  4. Step 4: Simplify right side
    298,510.51x = 38,190,619,642.46
  5. Step 5: Solve for x
    x = 38,190,619,642.46/298,510.51
  6. Step 6: Final answer
    x = 127,937.27

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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.