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Finding the Fourth Proportional to 576,257.40, 864,386.10 and 202,280.40

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Solution

The fourth proportional to 576,257.40, 864,386.10 and 202,280.40 is: 303,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,257.40 : 864,386.10 = 202,280.40 : x
  2. Step 2: Convert to fraction form
    576,257.40/864,386.10 = 202,280.40/x
  3. Step 3: Cross multiply
    576,257.40x = 864,386.10 × 202,280.40
  4. Step 4: Simplify right side
    576,257.40x = 174,848,366,062.44
  5. Step 5: Solve for x
    x = 174,848,366,062.44/576,257.40
  6. Step 6: Final answer
    x = 303,420.60

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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.