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Finding the Fourth Proportional to 305,547.75, 458,334.05 and 145,541.43

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Solution

The fourth proportional to 305,547.75, 458,334.05 and 145,541.43 is: 218,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,547.75 : 458,334.05 = 145,541.43 : x
  2. Step 2: Convert to fraction form
    305,547.75/458,334.05 = 145,541.43/x
  3. Step 3: Cross multiply
    305,547.75x = 458,334.05 × 145,541.43
  4. Step 4: Simplify right side
    305,547.75x = 66,706,592,326.98
  5. Step 5: Solve for x
    x = 66,706,592,326.98/305,547.75
  6. Step 6: Final answer
    x = 218,318.06

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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.