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Finding the Fourth Proportional to 202,688.40, 302,548.28 and 178,747.44

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Solution

The fourth proportional to 202,688.40, 302,548.28 and 178,747.44 is: 266,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,688.40 : 302,548.28 = 178,747.44 : x
  2. Step 2: Convert to fraction form
    202,688.40/302,548.28 = 178,747.44/x
  3. Step 3: Cross multiply
    202,688.40x = 302,548.28 × 178,747.44
  4. Step 4: Simplify right side
    202,688.40x = 54,079,730,526.40
  5. Step 5: Solve for x
    x = 54,079,730,526.40/202,688.40
  6. Step 6: Final answer
    x = 266,812.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.