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Finding the Fourth Proportional to 306,824, 423,416.67 and 170,869.85

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Solution

The fourth proportional to 306,824, 423,416.67 and 170,869.85 is: 235,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824 : 423,416.67 = 170,869.85 : x
  2. Step 2: Convert to fraction form
    306,824/423,416.67 = 170,869.85/x
  3. Step 3: Cross multiply
    306,824x = 423,416.67 × 170,869.85
  4. Step 4: Simplify right side
    306,824x = 72,349,142,890.40
  5. Step 5: Solve for x
    x = 72,349,142,890.40/306,824
  6. Step 6: Final answer
    x = 235,800.14

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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.