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Finding the Fourth Proportional to 654,008, 980,477.76 and 338,555.84

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Solution

The fourth proportional to 654,008, 980,477.76 and 338,555.84 is: 507,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,008 : 980,477.76 = 338,555.84 : x
  2. Step 2: Convert to fraction form
    654,008/980,477.76 = 338,555.84/x
  3. Step 3: Cross multiply
    654,008x = 980,477.76 × 338,555.84
  4. Step 4: Simplify right side
    654,008x = 331,946,471,638.12
  5. Step 5: Solve for x
    x = 331,946,471,638.12/654,008
  6. Step 6: Final answer
    x = 507,557.20

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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.