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Finding the Fourth Proportional to 385,031.52, 578,050.30 and 309,170.58

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Solution

The fourth proportional to 385,031.52, 578,050.30 and 309,170.58 is: 464,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,031.52 : 578,050.30 = 309,170.58 : x
  2. Step 2: Convert to fraction form
    385,031.52/578,050.30 = 309,170.58/x
  3. Step 3: Cross multiply
    385,031.52x = 578,050.30 × 309,170.58
  4. Step 4: Simplify right side
    385,031.52x = 178,716,146,520.17
  5. Step 5: Solve for x
    x = 178,716,146,520.17/385,031.52
  6. Step 6: Final answer
    x = 464,159.78

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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.