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Finding the Fourth Proportional to 266,283,472.80, 399,425,209.20 and 163,714,922.40

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Solution

The fourth proportional to 266,283,472.80, 399,425,209.20 and 163,714,922.40 is: 245,572,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,283,472.80 : 399,425,209.20 = 163,714,922.40 : x
  2. Step 2: Convert to fraction form
    266,283,472.80/399,425,209.20 = 163,714,922.40/x
  3. Step 3: Cross multiply
    266,283,472.80x = 399,425,209.20 × 163,714,922.40
  4. Step 4: Simplify right side
    266,283,472.80x = 65,391,867,128,781,768
  5. Step 5: Solve for x
    x = 65,391,867,128,781,768/266,283,472.80
  6. Step 6: Final answer
    x = 245,572,383.60

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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.