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Finding the Fourth Proportional to 611,956,494.32, 918,205,812.84 and 320,754,411.68

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Solution

The fourth proportional to 611,956,494.32, 918,205,812.84 and 320,754,411.68 is: 481,273,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,956,494.32 : 918,205,812.84 = 320,754,411.68 : x
  2. Step 2: Convert to fraction form
    611,956,494.32/918,205,812.84 = 320,754,411.68/x
  3. Step 3: Cross multiply
    611,956,494.32x = 918,205,812.84 × 320,754,411.68
  4. Step 4: Simplify right side
    611,956,494.32x = 294,518,565,298,650,432
  5. Step 5: Solve for x
    x = 294,518,565,298,650,432/611,956,494.32
  6. Step 6: Final answer
    x = 481,273,698.43

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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.