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Finding the Fourth Proportional to 452,225.80, 678,349.50 and 136,681.48

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Solution

The fourth proportional to 452,225.80, 678,349.50 and 136,681.48 is: 205,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,225.80 : 678,349.50 = 136,681.48 : x
  2. Step 2: Convert to fraction form
    452,225.80/678,349.50 = 136,681.48/x
  3. Step 3: Cross multiply
    452,225.80x = 678,349.50 × 136,681.48
  4. Step 4: Simplify right side
    452,225.80x = 92,717,813,617.26
  5. Step 5: Solve for x
    x = 92,717,813,617.26/452,225.80
  6. Step 6: Final answer
    x = 205,025.48

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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.