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Finding the Fourth Proportional to 315,766.08, 435,702.24 and 188,434.08

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Solution

The fourth proportional to 315,766.08, 435,702.24 and 188,434.08 is: 260,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,766.08 : 435,702.24 = 188,434.08 : x
  2. Step 2: Convert to fraction form
    315,766.08/435,702.24 = 188,434.08/x
  3. Step 3: Cross multiply
    315,766.08x = 435,702.24 × 188,434.08
  4. Step 4: Simplify right side
    315,766.08x = 82,101,150,748.34
  5. Step 5: Solve for x
    x = 82,101,150,748.34/315,766.08
  6. Step 6: Final answer
    x = 260,006.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.