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Finding the Fourth Proportional to 553,170.80, 829,335 and 253,736.48

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Solution

The fourth proportional to 553,170.80, 829,335 and 253,736.48 is: 380,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,170.80 : 829,335 = 253,736.48 : x
  2. Step 2: Convert to fraction form
    553,170.80/829,335 = 253,736.48/x
  3. Step 3: Cross multiply
    553,170.80x = 829,335 × 253,736.48
  4. Step 4: Simplify right side
    553,170.80x = 210,432,543,640.80
  5. Step 5: Solve for x
    x = 210,432,543,640.80/553,170.80
  6. Step 6: Final answer
    x = 380,411.52

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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.