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Finding the Fourth Proportional to 340,052.22, 510,005.43 and 140,320.80

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Solution

The fourth proportional to 340,052.22, 510,005.43 and 140,320.80 is: 210,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,052.22 : 510,005.43 = 140,320.80 : x
  2. Step 2: Convert to fraction form
    340,052.22/510,005.43 = 140,320.80/x
  3. Step 3: Cross multiply
    340,052.22x = 510,005.43 × 140,320.80
  4. Step 4: Simplify right side
    340,052.22x = 71,564,369,941.94
  5. Step 5: Solve for x
    x = 71,564,369,941.94/340,052.22
  6. Step 6: Final answer
    x = 210,451.12

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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.