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Finding the Fourth Proportional to 280,574.92, 386,692.68 and 212,428.62

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Solution

The fourth proportional to 280,574.92, 386,692.68 and 212,428.62 is: 292,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,574.92 : 386,692.68 = 212,428.62 : x
  2. Step 2: Convert to fraction form
    280,574.92/386,692.68 = 212,428.62/x
  3. Step 3: Cross multiply
    280,574.92x = 386,692.68 × 212,428.62
  4. Step 4: Simplify right side
    280,574.92x = 82,144,592,376.50
  5. Step 5: Solve for x
    x = 82,144,592,376.50/280,574.92
  6. Step 6: Final answer
    x = 292,772.40

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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.