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Finding the Fourth Proportional to 350,515.60, 525,082.20 and 209,856.40

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Solution

The fourth proportional to 350,515.60, 525,082.20 and 209,856.40 is: 314,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,515.60 : 525,082.20 = 209,856.40 : x
  2. Step 2: Convert to fraction form
    350,515.60/525,082.20 = 209,856.40/x
  3. Step 3: Cross multiply
    350,515.60x = 525,082.20 × 209,856.40
  4. Step 4: Simplify right side
    350,515.60x = 110,191,860,196.08
  5. Step 5: Solve for x
    x = 110,191,860,196.08/350,515.60
  6. Step 6: Final answer
    x = 314,370.77

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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.