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Finding the Fourth Proportional to 431,460.68, 647,482.62 and 150,980.36

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Solution

The fourth proportional to 431,460.68, 647,482.62 and 150,980.36 is: 226,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,460.68 : 647,482.62 = 150,980.36 : x
  2. Step 2: Convert to fraction form
    431,460.68/647,482.62 = 150,980.36/x
  3. Step 3: Cross multiply
    431,460.68x = 647,482.62 × 150,980.36
  4. Step 4: Simplify right side
    431,460.68x = 97,757,159,061.34
  5. Step 5: Solve for x
    x = 97,757,159,061.34/431,460.68
  6. Step 6: Final answer
    x = 226,572.58

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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.