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Finding the Fourth Proportional to 284,562.80, 426,865.80 and 84,867.60

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Solution

The fourth proportional to 284,562.80, 426,865.80 and 84,867.60 is: 127,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,562.80 : 426,865.80 = 84,867.60 : x
  2. Step 2: Convert to fraction form
    284,562.80/426,865.80 = 84,867.60/x
  3. Step 3: Cross multiply
    284,562.80x = 426,865.80 × 84,867.60
  4. Step 4: Simplify right side
    284,562.80x = 36,227,075,968.08
  5. Step 5: Solve for x
    x = 36,227,075,968.08/284,562.80
  6. Step 6: Final answer
    x = 127,307.84

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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.