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Finding the Fourth Proportional to 314,901.98, 434,575.24 and 187,560.26

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Solution

The fourth proportional to 314,901.98, 434,575.24 and 187,560.26 is: 258,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,901.98 : 434,575.24 = 187,560.26 : x
  2. Step 2: Convert to fraction form
    314,901.98/434,575.24 = 187,560.26/x
  3. Step 3: Cross multiply
    314,901.98x = 434,575.24 × 187,560.26
  4. Step 4: Simplify right side
    314,901.98x = 81,509,045,003.96
  5. Step 5: Solve for x
    x = 81,509,045,003.96/314,901.98
  6. Step 6: Final answer
    x = 258,839.42

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1.5x scale

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.