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Finding the Fourth Proportional to 407,564.20, 611,346.30 and 302,588.20

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Solution

The fourth proportional to 407,564.20, 611,346.30 and 302,588.20 is: 453,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,564.20 : 611,346.30 = 302,588.20 : x
  2. Step 2: Convert to fraction form
    407,564.20/611,346.30 = 302,588.20/x
  3. Step 3: Cross multiply
    407,564.20x = 611,346.30 × 302,588.20
  4. Step 4: Simplify right side
    407,564.20x = 184,986,176,493.66
  5. Step 5: Solve for x
    x = 184,986,176,493.66/407,564.20
  6. Step 6: Final answer
    x = 453,882.30

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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.