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Finding the Fourth Proportional to 334,408.50, 501,678.36 and 147,420

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Solution

The fourth proportional to 334,408.50, 501,678.36 and 147,420 is: 221,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,408.50 : 501,678.36 = 147,420 : x
  2. Step 2: Convert to fraction form
    334,408.50/501,678.36 = 147,420/x
  3. Step 3: Cross multiply
    334,408.50x = 501,678.36 × 147,420
  4. Step 4: Simplify right side
    334,408.50x = 73,957,423,831.20
  5. Step 5: Solve for x
    x = 73,957,423,831.20/334,408.50
  6. Step 6: Final answer
    x = 221,158.92

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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.