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Finding the Fourth Proportional to 302,642.90, 454,223.55 and 134,422.10

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Solution

The fourth proportional to 302,642.90, 454,223.55 and 134,422.10 is: 201,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,642.90 : 454,223.55 = 134,422.10 : x
  2. Step 2: Convert to fraction form
    302,642.90/454,223.55 = 134,422.10/x
  3. Step 3: Cross multiply
    302,642.90x = 454,223.55 × 134,422.10
  4. Step 4: Simplify right side
    302,642.90x = 61,057,683,460.46
  5. Step 5: Solve for x
    x = 61,057,683,460.46/302,642.90
  6. Step 6: Final answer
    x = 201,748.28

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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.