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Finding the Fourth Proportional to 345,052.72, 473,628.71 and 306,483.76

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Solution

The fourth proportional to 345,052.72, 473,628.71 and 306,483.76 is: 420,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,052.72 : 473,628.71 = 306,483.76 : x
  2. Step 2: Convert to fraction form
    345,052.72/473,628.71 = 306,483.76/x
  3. Step 3: Cross multiply
    345,052.72x = 473,628.71 × 306,483.76
  4. Step 4: Simplify right side
    345,052.72x = 145,159,507,884.75
  5. Step 5: Solve for x
    x = 145,159,507,884.75/345,052.72
  6. Step 6: Final answer
    x = 420,687.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.