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Finding the Fourth Proportional to 291,210.30, 436,815.45 and 278,507.48

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Solution

The fourth proportional to 291,210.30, 436,815.45 and 278,507.48 is: 417,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,210.30 : 436,815.45 = 278,507.48 : x
  2. Step 2: Convert to fraction form
    291,210.30/436,815.45 = 278,507.48/x
  3. Step 3: Cross multiply
    291,210.30x = 436,815.45 × 278,507.48
  4. Step 4: Simplify right side
    291,210.30x = 121,656,368,020.49
  5. Step 5: Solve for x
    x = 121,656,368,020.49/291,210.30
  6. Step 6: Final answer
    x = 417,761.21

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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.