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Finding the Fourth Proportional to 343,425.86, 512,612.32 and 319,359.14

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Solution

The fourth proportional to 343,425.86, 512,612.32 and 319,359.14 is: 476,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,425.86 : 512,612.32 = 319,359.14 : x
  2. Step 2: Convert to fraction form
    343,425.86/512,612.32 = 319,359.14/x
  3. Step 3: Cross multiply
    343,425.86x = 512,612.32 × 319,359.14
  4. Step 4: Simplify right side
    343,425.86x = 163,707,429,668.61
  5. Step 5: Solve for x
    x = 163,707,429,668.61/343,425.86
  6. Step 6: Final answer
    x = 476,689.29

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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.