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Finding the Fourth Proportional to 402,538.40, 603,116.40 and 212,717.60

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Solution

The fourth proportional to 402,538.40, 603,116.40 and 212,717.60 is: 318,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,538.40 : 603,116.40 = 212,717.60 : x
  2. Step 2: Convert to fraction form
    402,538.40/603,116.40 = 212,717.60/x
  3. Step 3: Cross multiply
    402,538.40x = 603,116.40 × 212,717.60
  4. Step 4: Simplify right side
    402,538.40x = 128,293,473,128.64
  5. Step 5: Solve for x
    x = 128,293,473,128.64/402,538.40
  6. Step 6: Final answer
    x = 318,711.14

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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.