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Finding the Fourth Proportional to 306,808.48, 423,384.24 and 170,847.28

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Solution

The fourth proportional to 306,808.48, 423,384.24 and 170,847.28 is: 235,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,808.48 : 423,384.24 = 170,847.28 : x
  2. Step 2: Convert to fraction form
    306,808.48/423,384.24 = 170,847.28/x
  3. Step 3: Cross multiply
    306,808.48x = 423,384.24 × 170,847.28
  4. Step 4: Simplify right side
    306,808.48x = 72,334,045,798.87
  5. Step 5: Solve for x
    x = 72,334,045,798.87/306,808.48
  6. Step 6: Final answer
    x = 235,762.86

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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.