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Finding the Fourth Proportional to 353,457.47, 530,214.46 and 212,264.75

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Solution

The fourth proportional to 353,457.47, 530,214.46 and 212,264.75 is: 318,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,457.47 : 530,214.46 = 212,264.75 : x
  2. Step 2: Convert to fraction form
    353,457.47/530,214.46 = 212,264.75/x
  3. Step 3: Cross multiply
    353,457.47x = 530,214.46 × 212,264.75
  4. Step 4: Simplify right side
    353,457.47x = 112,545,840,593.16
  5. Step 5: Solve for x
    x = 112,545,840,593.16/353,457.47
  6. Step 6: Final answer
    x = 318,414.09

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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.