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Finding the Fourth Proportional to 279,937,411.40, 419,906,117.10 and 275,402,448.20

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Solution

The fourth proportional to 279,937,411.40, 419,906,117.10 and 275,402,448.20 is: 413,103,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,411.40 : 419,906,117.10 = 275,402,448.20 : x
  2. Step 2: Convert to fraction form
    279,937,411.40/419,906,117.10 = 275,402,448.20/x
  3. Step 3: Cross multiply
    279,937,411.40x = 419,906,117.10 × 275,402,448.20
  4. Step 4: Simplify right side
    279,937,411.40x = 115,643,172,663,495,888
  5. Step 5: Solve for x
    x = 115,643,172,663,495,888/279,937,411.40
  6. Step 6: Final answer
    x = 413,103,672.30

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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.