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Finding the Fourth Proportional to 305,547.40, 421,649.06 and 169,573.45

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Solution

The fourth proportional to 305,547.40, 421,649.06 and 169,573.45 is: 234,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,547.40 : 421,649.06 = 169,573.45 : x
  2. Step 2: Convert to fraction form
    305,547.40/421,649.06 = 169,573.45/x
  3. Step 3: Cross multiply
    305,547.40x = 421,649.06 × 169,573.45
  4. Step 4: Simplify right side
    305,547.40x = 71,500,485,793.46
  5. Step 5: Solve for x
    x = 71,500,485,793.46/305,547.40
  6. Step 6: Final answer
    x = 234,007.84

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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.