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Finding the Fourth Proportional to 314,820.57, 434,449.65 and 171,580.59

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Solution

The fourth proportional to 314,820.57, 434,449.65 and 171,580.59 is: 236,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,820.57 : 434,449.65 = 171,580.59 : x
  2. Step 2: Convert to fraction form
    314,820.57/434,449.65 = 171,580.59/x
  3. Step 3: Cross multiply
    314,820.57x = 434,449.65 × 171,580.59
  4. Step 4: Simplify right side
    314,820.57x = 74,543,127,272.29
  5. Step 5: Solve for x
    x = 74,543,127,272.29/314,820.57
  6. Step 6: Final answer
    x = 236,779.72

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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.