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Finding the Fourth Proportional to 287,671,504.80, 431,563,244.40 and 83,206,250.40

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Solution

The fourth proportional to 287,671,504.80, 431,563,244.40 and 83,206,250.40 is: 124,825,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,671,504.80 : 431,563,244.40 = 83,206,250.40 : x
  2. Step 2: Convert to fraction form
    287,671,504.80/431,563,244.40 = 83,206,250.40/x
  3. Step 3: Cross multiply
    287,671,504.80x = 431,563,244.40 × 83,206,250.40
  4. Step 4: Simplify right side
    287,671,504.80x = 35,908,759,376,982,800
  5. Step 5: Solve for x
    x = 35,908,759,376,982,800/287,671,504.80
  6. Step 6: Final answer
    x = 124,825,569.37

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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.