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Finding the Fourth Proportional to 385,720.66, 578,673.37 and 160,956.06

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Solution

The fourth proportional to 385,720.66, 578,673.37 and 160,956.06 is: 241,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,720.66 : 578,673.37 = 160,956.06 : x
  2. Step 2: Convert to fraction form
    385,720.66/578,673.37 = 160,956.06/x
  3. Step 3: Cross multiply
    385,720.66x = 578,673.37 × 160,956.06
  4. Step 4: Simplify right side
    385,720.66x = 93,140,986,042.95
  5. Step 5: Solve for x
    x = 93,140,986,042.95/385,720.66
  6. Step 6: Final answer
    x = 241,472.64

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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.