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Finding the Fourth Proportional to 430,920.62, 646,356.61 and 190,965.41

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Solution

The fourth proportional to 430,920.62, 646,356.61 and 190,965.41 is: 286,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,920.62 : 646,356.61 = 190,965.41 : x
  2. Step 2: Convert to fraction form
    430,920.62/646,356.61 = 190,965.41/x
  3. Step 3: Cross multiply
    430,920.62x = 646,356.61 × 190,965.41
  4. Step 4: Simplify right side
    430,920.62x = 123,431,755,034.86
  5. Step 5: Solve for x
    x = 123,431,755,034.86/430,920.62
  6. Step 6: Final answer
    x = 286,437.34

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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.