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Finding the Fourth Proportional to 431,592,694.80, 647,389,042.20 and 158,928,032.40

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Solution

The fourth proportional to 431,592,694.80, 647,389,042.20 and 158,928,032.40 is: 238,392,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,592,694.80 : 647,389,042.20 = 158,928,032.40 : x
  2. Step 2: Convert to fraction form
    431,592,694.80/647,389,042.20 = 158,928,032.40/x
  3. Step 3: Cross multiply
    431,592,694.80x = 647,389,042.20 × 158,928,032.40
  4. Step 4: Simplify right side
    431,592,694.80x = 102,888,266,674,166,576
  5. Step 5: Solve for x
    x = 102,888,266,674,166,576/431,592,694.80
  6. Step 6: Final answer
    x = 238,392,048.60

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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.