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Finding the Fourth Proportional to 260,220.47, 390,064.82 and 147,663

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Solution

The fourth proportional to 260,220.47, 390,064.82 and 147,663 is: 221,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,220.47 : 390,064.82 = 147,663 : x
  2. Step 2: Convert to fraction form
    260,220.47/390,064.82 = 147,663/x
  3. Step 3: Cross multiply
    260,220.47x = 390,064.82 × 147,663
  4. Step 4: Simplify right side
    260,220.47x = 57,598,140,777.35
  5. Step 5: Solve for x
    x = 57,598,140,777.35/260,220.47
  6. Step 6: Final answer
    x = 221,343.62

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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.