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Finding the Fourth Proportional to 289,712.80, 434,547.60 and 121,189.60

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Solution

The fourth proportional to 289,712.80, 434,547.60 and 121,189.60 is: 181,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.80 : 434,547.60 = 121,189.60 : x
  2. Step 2: Convert to fraction form
    289,712.80/434,547.60 = 121,189.60/x
  3. Step 3: Cross multiply
    289,712.80x = 434,547.60 × 121,189.60
  4. Step 4: Simplify right side
    289,712.80x = 52,662,649,824.96
  5. Step 5: Solve for x
    x = 52,662,649,824.96/289,712.80
  6. Step 6: Final answer
    x = 181,775.36

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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.