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Finding the Fourth Proportional to 304,078.20, 456,117.30 and 291,636.60

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Solution

The fourth proportional to 304,078.20, 456,117.30 and 291,636.60 is: 437,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,078.20 : 456,117.30 = 291,636.60 : x
  2. Step 2: Convert to fraction form
    304,078.20/456,117.30 = 291,636.60/x
  3. Step 3: Cross multiply
    304,078.20x = 456,117.30 × 291,636.60
  4. Step 4: Simplify right side
    304,078.20x = 133,020,498,573.18
  5. Step 5: Solve for x
    x = 133,020,498,573.18/304,078.20
  6. Step 6: Final answer
    x = 437,454.90

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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.