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Finding the Fourth Proportional to 314,008.50, 471,014.13 and 100,808.80

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Solution

The fourth proportional to 314,008.50, 471,014.13 and 100,808.80 is: 151,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,008.50 : 471,014.13 = 100,808.80 : x
  2. Step 2: Convert to fraction form
    314,008.50/471,014.13 = 100,808.80/x
  3. Step 3: Cross multiply
    314,008.50x = 471,014.13 × 100,808.80
  4. Step 4: Simplify right side
    314,008.50x = 47,482,369,228.34
  5. Step 5: Solve for x
    x = 47,482,369,228.34/314,008.50
  6. Step 6: Final answer
    x = 151,213.64

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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.