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Finding the Fourth Proportional to 429,408.54, 644,114.16 and 148,925.79

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Solution

The fourth proportional to 429,408.54, 644,114.16 and 148,925.79 is: 223,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,408.54 : 644,114.16 = 148,925.79 : x
  2. Step 2: Convert to fraction form
    429,408.54/644,114.16 = 148,925.79/x
  3. Step 3: Cross multiply
    429,408.54x = 644,114.16 × 148,925.79
  4. Step 4: Simplify right side
    429,408.54x = 95,925,210,128.19
  5. Step 5: Solve for x
    x = 95,925,210,128.19/429,408.54
  6. Step 6: Final answer
    x = 223,389.15

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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.