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Finding the Fourth Proportional to 314,642.95, 434,205.02 and 171,402.95

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Solution

The fourth proportional to 314,642.95, 434,205.02 and 171,402.95 is: 236,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,642.95 : 434,205.02 = 171,402.95 : x
  2. Step 2: Convert to fraction form
    314,642.95/434,205.02 = 171,402.95/x
  3. Step 3: Cross multiply
    314,642.95x = 434,205.02 × 171,402.95
  4. Step 4: Simplify right side
    314,642.95x = 74,424,022,846.83
  5. Step 5: Solve for x
    x = 74,424,022,846.83/314,642.95
  6. Step 6: Final answer
    x = 236,534.85

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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.