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Finding the Fourth Proportional to 343,423.86, 512,609.34 and 319,357.14

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Solution

The fourth proportional to 343,423.86, 512,609.34 and 319,357.14 is: 476,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,423.86 : 512,609.34 = 319,357.14 : x
  2. Step 2: Convert to fraction form
    343,423.86/512,609.34 = 319,357.14/x
  3. Step 3: Cross multiply
    343,423.86x = 512,609.34 × 319,357.14
  4. Step 4: Simplify right side
    343,423.86x = 163,705,452,759.69
  5. Step 5: Solve for x
    x = 163,705,452,759.69/343,423.86
  6. Step 6: Final answer
    x = 476,686.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.