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Finding the Fourth Proportional to 280,017.30, 386,423.12 and 152,692.88

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Solution

The fourth proportional to 280,017.30, 386,423.12 and 152,692.88 is: 210,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017.30 : 386,423.12 = 152,692.88 : x
  2. Step 2: Convert to fraction form
    280,017.30/386,423.12 = 152,692.88/x
  3. Step 3: Cross multiply
    280,017.30x = 386,423.12 × 152,692.88
  4. Step 4: Simplify right side
    280,017.30x = 59,004,059,091.39
  5. Step 5: Solve for x
    x = 59,004,059,091.39/280,017.30
  6. Step 6: Final answer
    x = 210,715.76

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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.