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Finding the Fourth Proportional to 278,405.91, 384,001.68 and 255,509.53

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Solution

The fourth proportional to 278,405.91, 384,001.68 and 255,509.53 is: 352,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,405.91 : 384,001.68 = 255,509.53 : x
  2. Step 2: Convert to fraction form
    278,405.91/384,001.68 = 255,509.53/x
  3. Step 3: Cross multiply
    278,405.91x = 384,001.68 × 255,509.53
  4. Step 4: Simplify right side
    278,405.91x = 98,116,090,215.56
  5. Step 5: Solve for x
    x = 98,116,090,215.56/278,405.91
  6. Step 6: Final answer
    x = 352,421.01

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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.