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Finding the Fourth Proportional to 279,937,411.80, 419,906,117.70 and 157,493,405.40

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Solution

The fourth proportional to 279,937,411.80, 419,906,117.70 and 157,493,405.40 is: 236,240,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,411.80 : 419,906,117.70 = 157,493,405.40 : x
  2. Step 2: Convert to fraction form
    279,937,411.80/419,906,117.70 = 157,493,405.40/x
  3. Step 3: Cross multiply
    279,937,411.80x = 419,906,117.70 × 157,493,405.40
  4. Step 4: Simplify right side
    279,937,411.80x = 66,132,444,424,866,216
  5. Step 5: Solve for x
    x = 66,132,444,424,866,216/279,937,411.80
  6. Step 6: Final answer
    x = 236,240,108.10

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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.