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Finding the Fourth Proportional to 304,046.90, 456,070.35 and 256,807.70

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Solution

The fourth proportional to 304,046.90, 456,070.35 and 256,807.70 is: 385,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,046.90 : 456,070.35 = 256,807.70 : x
  2. Step 2: Convert to fraction form
    304,046.90/456,070.35 = 256,807.70/x
  3. Step 3: Cross multiply
    304,046.90x = 456,070.35 × 256,807.70
  4. Step 4: Simplify right side
    304,046.90x = 117,122,377,621.70
  5. Step 5: Solve for x
    x = 117,122,377,621.70/304,046.90
  6. Step 6: Final answer
    x = 385,211.55

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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.