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Finding the Fourth Proportional to 206,692.10, 310,038.15 and 147,205.70

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Solution

The fourth proportional to 206,692.10, 310,038.15 and 147,205.70 is: 220,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,692.10 : 310,038.15 = 147,205.70 : x
  2. Step 2: Convert to fraction form
    206,692.10/310,038.15 = 147,205.70/x
  3. Step 3: Cross multiply
    206,692.10x = 310,038.15 × 147,205.70
  4. Step 4: Simplify right side
    206,692.10x = 45,639,382,897.46
  5. Step 5: Solve for x
    x = 45,639,382,897.46/206,692.10
  6. Step 6: Final answer
    x = 220,808.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.