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Finding the Fourth Proportional to 278,509.59, 384,342.17 and 151,184.07

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Solution

The fourth proportional to 278,509.59, 384,342.17 and 151,184.07 is: 208,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,509.59 : 384,342.17 = 151,184.07 : x
  2. Step 2: Convert to fraction form
    278,509.59/384,342.17 = 151,184.07/x
  3. Step 3: Cross multiply
    278,509.59x = 384,342.17 × 151,184.07
  4. Step 4: Simplify right side
    278,509.59x = 58,106,412,777.31
  5. Step 5: Solve for x
    x = 58,106,412,777.31/278,509.59
  6. Step 6: Final answer
    x = 208,633.44

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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.