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Finding the Fourth Proportional to 406,088,689.69, 560,409,206.88 and 220,449,705.31

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Solution

The fourth proportional to 406,088,689.69, 560,409,206.88 and 220,449,705.31 is: 304,224,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,088,689.69 : 560,409,206.88 = 220,449,705.31 : x
  2. Step 2: Convert to fraction form
    406,088,689.69/560,409,206.88 = 220,449,705.31/x
  3. Step 3: Cross multiply
    406,088,689.69x = 560,409,206.88 × 220,449,705.31
  4. Step 4: Simplify right side
    406,088,689.69x = 123,542,044,509,706,832
  5. Step 5: Solve for x
    x = 123,542,044,509,706,832/406,088,689.69
  6. Step 6: Final answer
    x = 304,224,292.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.