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Finding the Fourth Proportional to 509,776.38, 703,490.39 and 292,055.57

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Solution

The fourth proportional to 509,776.38, 703,490.39 and 292,055.57 is: 403,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,776.38 : 703,490.39 = 292,055.57 : x
  2. Step 2: Convert to fraction form
    509,776.38/703,490.39 = 292,055.57/x
  3. Step 3: Cross multiply
    509,776.38x = 703,490.39 × 292,055.57
  4. Step 4: Simplify right side
    509,776.38x = 205,458,281,863.24
  5. Step 5: Solve for x
    x = 205,458,281,863.24/509,776.38
  6. Step 6: Final answer
    x = 403,036.10

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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.