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Finding the Fourth Proportional to 286,855.53, 430,280.55 and 174,567.66

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Solution

The fourth proportional to 286,855.53, 430,280.55 and 174,567.66 is: 261,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,855.53 : 430,280.55 = 174,567.66 : x
  2. Step 2: Convert to fraction form
    286,855.53/430,280.55 = 174,567.66/x
  3. Step 3: Cross multiply
    286,855.53x = 430,280.55 × 174,567.66
  4. Step 4: Simplify right side
    286,855.53x = 75,113,068,757.01
  5. Step 5: Solve for x
    x = 75,113,068,757.01/286,855.53
  6. Step 6: Final answer
    x = 261,849.82

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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.