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Finding the Fourth Proportional to 288,906.30, 433,293.84 and 139,070.10

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Solution

The fourth proportional to 288,906.30, 433,293.84 and 139,070.10 is: 208,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,906.30 : 433,293.84 = 139,070.10 : x
  2. Step 2: Convert to fraction form
    288,906.30/433,293.84 = 139,070.10/x
  3. Step 3: Cross multiply
    288,906.30x = 433,293.84 × 139,070.10
  4. Step 4: Simplify right side
    288,906.30x = 60,258,217,658.18
  5. Step 5: Solve for x
    x = 60,258,217,658.18/288,906.30
  6. Step 6: Final answer
    x = 208,573.57

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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.