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Finding the Fourth Proportional to 318,971.40, 478,457.10 and 141,824.40

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Solution

The fourth proportional to 318,971.40, 478,457.10 and 141,824.40 is: 212,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,971.40 : 478,457.10 = 141,824.40 : x
  2. Step 2: Convert to fraction form
    318,971.40/478,457.10 = 141,824.40/x
  3. Step 3: Cross multiply
    318,971.40x = 478,457.10 × 141,824.40
  4. Step 4: Simplify right side
    318,971.40x = 67,856,891,133.24
  5. Step 5: Solve for x
    x = 67,856,891,133.24/318,971.40
  6. Step 6: Final answer
    x = 212,736.60

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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.