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Finding the Fourth Proportional to 221,728.30, 332,592.45 and 97,312.30

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Solution

The fourth proportional to 221,728.30, 332,592.45 and 97,312.30 is: 145,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,728.30 : 332,592.45 = 97,312.30 : x
  2. Step 2: Convert to fraction form
    221,728.30/332,592.45 = 97,312.30/x
  3. Step 3: Cross multiply
    221,728.30x = 332,592.45 × 97,312.30
  4. Step 4: Simplify right side
    221,728.30x = 32,365,336,272.14
  5. Step 5: Solve for x
    x = 32,365,336,272.14/221,728.30
  6. Step 6: Final answer
    x = 145,968.45

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1.5x scale

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.