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Finding the Fourth Proportional to 306,819, 423,047.92 and 210,069.76

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Solution

The fourth proportional to 306,819, 423,047.92 and 210,069.76 is: 289,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,819 : 423,047.92 = 210,069.76 : x
  2. Step 2: Convert to fraction form
    306,819/423,047.92 = 210,069.76/x
  3. Step 3: Cross multiply
    306,819x = 423,047.92 × 210,069.76
  4. Step 4: Simplify right side
    306,819x = 88,869,575,022.90
  5. Step 5: Solve for x
    x = 88,869,575,022.90/306,819
  6. Step 6: Final answer
    x = 289,648.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.