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Finding the Fourth Proportional to 315,097.52, 434,913.16 and 187,748.50

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Solution

The fourth proportional to 315,097.52, 434,913.16 and 187,748.50 is: 259,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,097.52 : 434,913.16 = 187,748.50 : x
  2. Step 2: Convert to fraction form
    315,097.52/434,913.16 = 187,748.50/x
  3. Step 3: Cross multiply
    315,097.52x = 434,913.16 × 187,748.50
  4. Step 4: Simplify right side
    315,097.52x = 81,654,293,420.26
  5. Step 5: Solve for x
    x = 81,654,293,420.26/315,097.52
  6. Step 6: Final answer
    x = 259,139.75

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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.