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Finding the Fourth Proportional to 423,035.36, 634,220.22 and 209,656.66

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Solution

The fourth proportional to 423,035.36, 634,220.22 and 209,656.66 is: 314,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,035.36 : 634,220.22 = 209,656.66 : x
  2. Step 2: Convert to fraction form
    423,035.36/634,220.22 = 209,656.66/x
  3. Step 3: Cross multiply
    423,035.36x = 634,220.22 × 209,656.66
  4. Step 4: Simplify right side
    423,035.36x = 132,968,493,029.67
  5. Step 5: Solve for x
    x = 132,968,493,029.67/423,035.36
  6. Step 6: Final answer
    x = 314,320.04

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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.