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Finding the Fourth Proportional to 213,492.33, 294,616.31 and 128,656.17

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Solution

The fourth proportional to 213,492.33, 294,616.31 and 128,656.17 is: 177,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,492.33 : 294,616.31 = 128,656.17 : x
  2. Step 2: Convert to fraction form
    213,492.33/294,616.31 = 128,656.17/x
  3. Step 3: Cross multiply
    213,492.33x = 294,616.31 × 128,656.17
  4. Step 4: Simplify right side
    213,492.33x = 37,904,205,420.85
  5. Step 5: Solve for x
    x = 37,904,205,420.85/213,492.33
  6. Step 6: Final answer
    x = 177,543.64

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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.