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Finding the Fourth Proportional to 213,904.80, 294,418.80 and 201,657.60

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Solution

The fourth proportional to 213,904.80, 294,418.80 and 201,657.60 is: 277,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904.80 : 294,418.80 = 201,657.60 : x
  2. Step 2: Convert to fraction form
    213,904.80/294,418.80 = 201,657.60/x
  3. Step 3: Cross multiply
    213,904.80x = 294,418.80 × 201,657.60
  4. Step 4: Simplify right side
    213,904.80x = 59,371,788,602.88
  5. Step 5: Solve for x
    x = 59,371,788,602.88/213,904.80
  6. Step 6: Final answer
    x = 277,561.74

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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.