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Finding the Fourth Proportional to 346,745.30, 520,217.58 and 144,302

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Solution

The fourth proportional to 346,745.30, 520,217.58 and 144,302 is: 216,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,745.30 : 520,217.58 = 144,302 : x
  2. Step 2: Convert to fraction form
    346,745.30/520,217.58 = 144,302/x
  3. Step 3: Cross multiply
    346,745.30x = 520,217.58 × 144,302
  4. Step 4: Simplify right side
    346,745.30x = 75,068,437,229.16
  5. Step 5: Solve for x
    x = 75,068,437,229.16/346,745.30
  6. Step 6: Final answer
    x = 216,494.46

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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.