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Finding the Fourth Proportional to 604,742.40, 907,209.60 and 205,420.80

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Solution

The fourth proportional to 604,742.40, 907,209.60 and 205,420.80 is: 308,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,742.40 : 907,209.60 = 205,420.80 : x
  2. Step 2: Convert to fraction form
    604,742.40/907,209.60 = 205,420.80/x
  3. Step 3: Cross multiply
    604,742.40x = 907,209.60 × 205,420.80
  4. Step 4: Simplify right side
    604,742.40x = 186,359,721,799.68
  5. Step 5: Solve for x
    x = 186,359,721,799.68/604,742.40
  6. Step 6: Final answer
    x = 308,163.81

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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.