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Finding the Fourth Proportional to 397,672.76, 596,509.06 and 144,972.20

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Solution

The fourth proportional to 397,672.76, 596,509.06 and 144,972.20 is: 217,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,672.76 : 596,509.06 = 144,972.20 : x
  2. Step 2: Convert to fraction form
    397,672.76/596,509.06 = 144,972.20/x
  3. Step 3: Cross multiply
    397,672.76x = 596,509.06 × 144,972.20
  4. Step 4: Simplify right side
    397,672.76x = 86,477,230,748.13
  5. Step 5: Solve for x
    x = 86,477,230,748.13/397,672.76
  6. Step 6: Final answer
    x = 217,458.27

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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.