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Finding the Fourth Proportional to 312,199.23, 430,835.46 and 168,959.40

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Solution

The fourth proportional to 312,199.23, 430,835.46 and 168,959.40 is: 233,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.23 : 430,835.46 = 168,959.40 : x
  2. Step 2: Convert to fraction form
    312,199.23/430,835.46 = 168,959.40/x
  3. Step 3: Cross multiply
    312,199.23x = 430,835.46 × 168,959.40
  4. Step 4: Simplify right side
    312,199.23x = 72,793,700,820.32
  5. Step 5: Solve for x
    x = 72,793,700,820.32/312,199.23
  6. Step 6: Final answer
    x = 233,164.25

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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.