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Finding the Fourth Proportional to 268,656,471.30, 402,984,706.95 and 98,433,264.90

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Solution

The fourth proportional to 268,656,471.30, 402,984,706.95 and 98,433,264.90 is: 147,649,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,656,471.30 : 402,984,706.95 = 98,433,264.90 : x
  2. Step 2: Convert to fraction form
    268,656,471.30/402,984,706.95 = 98,433,264.90/x
  3. Step 3: Cross multiply
    268,656,471.30x = 402,984,706.95 × 98,433,264.90
  4. Step 4: Simplify right side
    268,656,471.30x = 39,667,100,409,858,224
  5. Step 5: Solve for x
    x = 39,667,100,409,858,224/268,656,471.30
  6. Step 6: Final answer
    x = 147,649,897.35

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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.