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Finding the Fourth Proportional to 312,154.74, 430,668.11 and 203,209.34

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Solution

The fourth proportional to 312,154.74, 430,668.11 and 203,209.34 is: 280,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,154.74 : 430,668.11 = 203,209.34 : x
  2. Step 2: Convert to fraction form
    312,154.74/430,668.11 = 203,209.34/x
  3. Step 3: Cross multiply
    312,154.74x = 430,668.11 × 203,209.34
  4. Step 4: Simplify right side
    312,154.74x = 87,515,779,222.76
  5. Step 5: Solve for x
    x = 87,515,779,222.76/312,154.74
  6. Step 6: Final answer
    x = 280,360.24

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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.