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Finding the Fourth Proportional to 312,259.72, 430,902.14 and 183,180.24

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Solution

The fourth proportional to 312,259.72, 430,902.14 and 183,180.24 is: 252,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,259.72 : 430,902.14 = 183,180.24 : x
  2. Step 2: Convert to fraction form
    312,259.72/430,902.14 = 183,180.24/x
  3. Step 3: Cross multiply
    312,259.72x = 430,902.14 × 183,180.24
  4. Step 4: Simplify right side
    312,259.72x = 78,932,757,421.71
  5. Step 5: Solve for x
    x = 78,932,757,421.71/312,259.72
  6. Step 6: Final answer
    x = 252,779.18

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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.