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Finding the Fourth Proportional to 202,281.40, 303,349.20 and 102,408.40

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Solution

The fourth proportional to 202,281.40, 303,349.20 and 102,408.40 is: 153,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,281.40 : 303,349.20 = 102,408.40 : x
  2. Step 2: Convert to fraction form
    202,281.40/303,349.20 = 102,408.40/x
  3. Step 3: Cross multiply
    202,281.40x = 303,349.20 × 102,408.40
  4. Step 4: Simplify right side
    202,281.40x = 31,065,506,213.28
  5. Step 5: Solve for x
    x = 31,065,506,213.28/202,281.40
  6. Step 6: Final answer
    x = 153,575.69

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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.