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Finding the Fourth Proportional to 342,004.30, 513,006.45 and 314,010.70

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Solution

The fourth proportional to 342,004.30, 513,006.45 and 314,010.70 is: 471,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,004.30 : 513,006.45 = 314,010.70 : x
  2. Step 2: Convert to fraction form
    342,004.30/513,006.45 = 314,010.70/x
  3. Step 3: Cross multiply
    342,004.30x = 513,006.45 × 314,010.70
  4. Step 4: Simplify right side
    342,004.30x = 161,089,514,469.02
  5. Step 5: Solve for x
    x = 161,089,514,469.02/342,004.30
  6. Step 6: Final answer
    x = 471,016.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.