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Finding the Fourth Proportional to 298,061.98, 411,117.33 and 202,402.60

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Solution

The fourth proportional to 298,061.98, 411,117.33 and 202,402.60 is: 279,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,061.98 : 411,117.33 = 202,402.60 : x
  2. Step 2: Convert to fraction form
    298,061.98/411,117.33 = 202,402.60/x
  3. Step 3: Cross multiply
    298,061.98x = 411,117.33 × 202,402.60
  4. Step 4: Simplify right side
    298,061.98x = 83,211,216,497.06
  5. Step 5: Solve for x
    x = 83,211,216,497.06/298,061.98
  6. Step 6: Final answer
    x = 279,174.21

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1.5x scale

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.