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Finding the Fourth Proportional to 202,428.70, 303,643.05 and 97,222.30

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Solution

The fourth proportional to 202,428.70, 303,643.05 and 97,222.30 is: 145,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,428.70 : 303,643.05 = 97,222.30 : x
  2. Step 2: Convert to fraction form
    202,428.70/303,643.05 = 97,222.30/x
  3. Step 3: Cross multiply
    202,428.70x = 303,643.05 × 97,222.30
  4. Step 4: Simplify right side
    202,428.70x = 29,520,875,700.02
  5. Step 5: Solve for x
    x = 29,520,875,700.02/202,428.70
  6. Step 6: Final answer
    x = 145,833.45

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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.