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Finding the Fourth Proportional to 284,281.80, 426,420.72 and 115,762.56

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Solution

The fourth proportional to 284,281.80, 426,420.72 and 115,762.56 is: 173,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281.80 : 426,420.72 = 115,762.56 : x
  2. Step 2: Convert to fraction form
    284,281.80/426,420.72 = 115,762.56/x
  3. Step 3: Cross multiply
    284,281.80x = 426,420.72 × 115,762.56
  4. Step 4: Simplify right side
    284,281.80x = 49,363,554,184.24
  5. Step 5: Solve for x
    x = 49,363,554,184.24/284,281.80
  6. Step 6: Final answer
    x = 173,643.03

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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.