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Finding the Fourth Proportional to 400,051.20, 551,810.52 and 256,584

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Solution

The fourth proportional to 400,051.20, 551,810.52 and 256,584 is: 353,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,051.20 : 551,810.52 = 256,584 : x
  2. Step 2: Convert to fraction form
    400,051.20/551,810.52 = 256,584/x
  3. Step 3: Cross multiply
    400,051.20x = 551,810.52 × 256,584
  4. Step 4: Simplify right side
    400,051.20x = 141,585,750,463.68
  5. Step 5: Solve for x
    x = 141,585,750,463.68/400,051.20
  6. Step 6: Final answer
    x = 353,919.07

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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.