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Finding the Fourth Proportional to 288,311.40, 432,467.10 and 148,343.40

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Solution

The fourth proportional to 288,311.40, 432,467.10 and 148,343.40 is: 222,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,311.40 : 432,467.10 = 148,343.40 : x
  2. Step 2: Convert to fraction form
    288,311.40/432,467.10 = 148,343.40/x
  3. Step 3: Cross multiply
    288,311.40x = 432,467.10 × 148,343.40
  4. Step 4: Simplify right side
    288,311.40x = 64,153,640,002.14
  5. Step 5: Solve for x
    x = 64,153,640,002.14/288,311.40
  6. Step 6: Final answer
    x = 222,515.10

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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.