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Finding the Fourth Proportional to 313,992.30, 433,319.12 and 178,031.98

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Solution

The fourth proportional to 313,992.30, 433,319.12 and 178,031.98 is: 245,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,992.30 : 433,319.12 = 178,031.98 : x
  2. Step 2: Convert to fraction form
    313,992.30/433,319.12 = 178,031.98/x
  3. Step 3: Cross multiply
    313,992.30x = 433,319.12 × 178,031.98
  4. Step 4: Simplify right side
    313,992.30x = 77,144,658,787.15
  5. Step 5: Solve for x
    x = 77,144,658,787.15/313,992.30
  6. Step 6: Final answer
    x = 245,689.65

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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.