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Finding the Fourth Proportional to 223,428, 308,336.56 and 121,460.32

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Solution

The fourth proportional to 223,428, 308,336.56 and 121,460.32 is: 167,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,428 : 308,336.56 = 121,460.32 : x
  2. Step 2: Convert to fraction form
    223,428/308,336.56 = 121,460.32/x
  3. Step 3: Cross multiply
    223,428x = 308,336.56 × 121,460.32
  4. Step 4: Simplify right side
    223,428x = 37,450,657,245.30
  5. Step 5: Solve for x
    x = 37,450,657,245.30/223,428
  6. Step 6: Final answer
    x = 167,618.46

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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.