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Finding the Fourth Proportional to 552,705.66, 762,724.71 and 310,987.98

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Solution

The fourth proportional to 552,705.66, 762,724.71 and 310,987.98 is: 429,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,705.66 : 762,724.71 = 310,987.98 : x
  2. Step 2: Convert to fraction form
    552,705.66/762,724.71 = 310,987.98/x
  3. Step 3: Cross multiply
    552,705.66x = 762,724.71 × 310,987.98
  4. Step 4: Simplify right side
    552,705.66x = 237,198,216,858.99
  5. Step 5: Solve for x
    x = 237,198,216,858.99/552,705.66
  6. Step 6: Final answer
    x = 429,158.29

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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.