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Finding the Fourth Proportional to 208,302.20, 312,453.30 and 189,931.40

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Solution

The fourth proportional to 208,302.20, 312,453.30 and 189,931.40 is: 284,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,302.20 : 312,453.30 = 189,931.40 : x
  2. Step 2: Convert to fraction form
    208,302.20/312,453.30 = 189,931.40/x
  3. Step 3: Cross multiply
    208,302.20x = 312,453.30 × 189,931.40
  4. Step 4: Simplify right side
    208,302.20x = 59,344,692,703.62
  5. Step 5: Solve for x
    x = 59,344,692,703.62/208,302.20
  6. Step 6: Final answer
    x = 284,897.10

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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.