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Finding the Fourth Proportional to 537,755.24, 742,020 and 311,357

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Solution

The fourth proportional to 537,755.24, 742,020 and 311,357 is: 429,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,755.24 : 742,020 = 311,357 : x
  2. Step 2: Convert to fraction form
    537,755.24/742,020 = 311,357/x
  3. Step 3: Cross multiply
    537,755.24x = 742,020 × 311,357
  4. Step 4: Simplify right side
    537,755.24x = 231,033,121,140
  5. Step 5: Solve for x
    x = 231,033,121,140/537,755.24
  6. Step 6: Final answer
    x = 429,625.05

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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.