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Finding the Fourth Proportional to 280,814.99, 387,463.64 and 166,099.95

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Solution

The fourth proportional to 280,814.99, 387,463.64 and 166,099.95 is: 229,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,814.99 : 387,463.64 = 166,099.95 : x
  2. Step 2: Convert to fraction form
    280,814.99/387,463.64 = 166,099.95/x
  3. Step 3: Cross multiply
    280,814.99x = 387,463.64 × 166,099.95
  4. Step 4: Simplify right side
    280,814.99x = 64,357,690,400.32
  5. Step 5: Solve for x
    x = 64,357,690,400.32/280,814.99
  6. Step 6: Final answer
    x = 229,181.82

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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.