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Finding the Fourth Proportional to 253,746.50, 350,011.80 and 163,220.49

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Solution

The fourth proportional to 253,746.50, 350,011.80 and 163,220.49 is: 225,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,746.50 : 350,011.80 = 163,220.49 : x
  2. Step 2: Convert to fraction form
    253,746.50/350,011.80 = 163,220.49/x
  3. Step 3: Cross multiply
    253,746.50x = 350,011.80 × 163,220.49
  4. Step 4: Simplify right side
    253,746.50x = 57,129,097,501.78
  5. Step 5: Solve for x
    x = 57,129,097,501.78/253,746.50
  6. Step 6: Final answer
    x = 225,142.41

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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.