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Finding the Fourth Proportional to 288,611.10, 432,260.55 and 148,205.70

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Solution

The fourth proportional to 288,611.10, 432,260.55 and 148,205.70 is: 221,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,611.10 : 432,260.55 = 148,205.70 : x
  2. Step 2: Convert to fraction form
    288,611.10/432,260.55 = 148,205.70/x
  3. Step 3: Cross multiply
    288,611.10x = 432,260.55 × 148,205.70
  4. Step 4: Simplify right side
    288,611.10x = 64,063,477,395.14
  5. Step 5: Solve for x
    x = 64,063,477,395.14/288,611.10
  6. Step 6: Final answer
    x = 221,971.63

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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.