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Finding the Fourth Proportional to 329,459.68, 493,624.80 and 221,186.24

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Solution

The fourth proportional to 329,459.68, 493,624.80 and 221,186.24 is: 331,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,459.68 : 493,624.80 = 221,186.24 : x
  2. Step 2: Convert to fraction form
    329,459.68/493,624.80 = 221,186.24/x
  3. Step 3: Cross multiply
    329,459.68x = 493,624.80 × 221,186.24
  4. Step 4: Simplify right side
    329,459.68x = 109,183,013,482.75
  5. Step 5: Solve for x
    x = 109,183,013,482.75/329,459.68
  6. Step 6: Final answer
    x = 331,400.23

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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.