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Finding the Fourth Proportional to 280,295.94, 386,817.42 and 159,434.12

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Solution

The fourth proportional to 280,295.94, 386,817.42 and 159,434.12 is: 220,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,295.94 : 386,817.42 = 159,434.12 : x
  2. Step 2: Convert to fraction form
    280,295.94/386,817.42 = 159,434.12/x
  3. Step 3: Cross multiply
    280,295.94x = 386,817.42 × 159,434.12
  4. Step 4: Simplify right side
    280,295.94x = 61,671,896,523.29
  5. Step 5: Solve for x
    x = 61,671,896,523.29/280,295.94
  6. Step 6: Final answer
    x = 220,024.22

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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.