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Finding the Fourth Proportional to 278,151,014.80, 417,207,859.80 and 73,674,701.20

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Solution

The fourth proportional to 278,151,014.80, 417,207,859.80 and 73,674,701.20 is: 110,507,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,151,014.80 : 417,207,859.80 = 73,674,701.20 : x
  2. Step 2: Convert to fraction form
    278,151,014.80/417,207,859.80 = 73,674,701.20/x
  3. Step 3: Cross multiply
    278,151,014.80x = 417,207,859.80 × 73,674,701.20
  4. Step 4: Simplify right side
    278,151,014.80x = 30,737,664,409,056,492
  5. Step 5: Solve for x
    x = 30,737,664,409,056,492/278,151,014.80
  6. Step 6: Final answer
    x = 110,507,108.63

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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.