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Finding the Fourth Proportional to 385,399.40, 578,070.30 and 160,701.80

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Solution

The fourth proportional to 385,399.40, 578,070.30 and 160,701.80 is: 241,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,399.40 : 578,070.30 = 160,701.80 : x
  2. Step 2: Convert to fraction form
    385,399.40/578,070.30 = 160,701.80/x
  3. Step 3: Cross multiply
    385,399.40x = 578,070.30 × 160,701.80
  4. Step 4: Simplify right side
    385,399.40x = 92,896,937,736.54
  5. Step 5: Solve for x
    x = 92,896,937,736.54/385,399.40
  6. Step 6: Final answer
    x = 241,040.69

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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.