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Finding the Fourth Proportional to 341,489.28, 470,817.09 and 280,008.93

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Solution

The fourth proportional to 341,489.28, 470,817.09 and 280,008.93 is: 386,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,489.28 : 470,817.09 = 280,008.93 : x
  2. Step 2: Convert to fraction form
    341,489.28/470,817.09 = 280,008.93/x
  3. Step 3: Cross multiply
    341,489.28x = 470,817.09 × 280,008.93
  4. Step 4: Simplify right side
    341,489.28x = 131,832,989,596.61
  5. Step 5: Solve for x
    x = 131,832,989,596.61/341,489.28
  6. Step 6: Final answer
    x = 386,053.08

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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.