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Finding the Fourth Proportional to 208,328.43, 287,492.36 and 116,447.61

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Solution

The fourth proportional to 208,328.43, 287,492.36 and 116,447.61 is: 160,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,328.43 : 287,492.36 = 116,447.61 : x
  2. Step 2: Convert to fraction form
    208,328.43/287,492.36 = 116,447.61/x
  3. Step 3: Cross multiply
    208,328.43x = 287,492.36 × 116,447.61
  4. Step 4: Simplify right side
    208,328.43x = 33,477,797,633.02
  5. Step 5: Solve for x
    x = 33,477,797,633.02/208,328.43
  6. Step 6: Final answer
    x = 160,697.21

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1.5x scale

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.