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Finding the Fourth Proportional to 280,095.38, 418,357.09 and 253,400.21

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Solution

The fourth proportional to 280,095.38, 418,357.09 and 253,400.21 is: 378,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,095.38 : 418,357.09 = 253,400.21 : x
  2. Step 2: Convert to fraction form
    280,095.38/418,357.09 = 253,400.21/x
  3. Step 3: Cross multiply
    280,095.38x = 418,357.09 × 253,400.21
  4. Step 4: Simplify right side
    280,095.38x = 106,011,774,460.99
  5. Step 5: Solve for x
    x = 106,011,774,460.99/280,095.38
  6. Step 6: Final answer
    x = 378,484.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.