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Finding the Fourth Proportional to 430,408.88, 645,616.44 and 149,925.20

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Solution

The fourth proportional to 430,408.88, 645,616.44 and 149,925.20 is: 224,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,408.88 : 645,616.44 = 149,925.20 : x
  2. Step 2: Convert to fraction form
    430,408.88/645,616.44 = 149,925.20/x
  3. Step 3: Cross multiply
    430,408.88x = 645,616.44 × 149,925.20
  4. Step 4: Simplify right side
    430,408.88x = 96,794,173,890.29
  5. Step 5: Solve for x
    x = 96,794,173,890.29/430,408.88
  6. Step 6: Final answer
    x = 224,888.89

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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.