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Finding the Fourth Proportional to 266,881,678.80, 399,650,671.80 and 175,510,568.40

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Solution

The fourth proportional to 266,881,678.80, 399,650,671.80 and 175,510,568.40 is: 262,824,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,881,678.80 : 399,650,671.80 = 175,510,568.40 : x
  2. Step 2: Convert to fraction form
    266,881,678.80/399,650,671.80 = 175,510,568.40/x
  3. Step 3: Cross multiply
    266,881,678.80x = 399,650,671.80 × 175,510,568.40
  4. Step 4: Simplify right side
    266,881,678.80x = 70,142,916,569,059,856
  5. Step 5: Solve for x
    x = 70,142,916,569,059,856/266,881,678.80
  6. Step 6: Final answer
    x = 262,824,023.31

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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.