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Finding the Fourth Proportional to 201,492.30, 302,457.15 and 157,314.90

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Solution

The fourth proportional to 201,492.30, 302,457.15 and 157,314.90 is: 236,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,492.30 : 302,457.15 = 157,314.90 : x
  2. Step 2: Convert to fraction form
    201,492.30/302,457.15 = 157,314.90/x
  3. Step 3: Cross multiply
    201,492.30x = 302,457.15 × 157,314.90
  4. Step 4: Simplify right side
    201,492.30x = 47,581,016,306.54
  5. Step 5: Solve for x
    x = 47,581,016,306.54/201,492.30
  6. Step 6: Final answer
    x = 236,143.10

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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.