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Finding the Fourth Proportional to 478,846.32, 718,280.40 and 141,880.65

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Solution

The fourth proportional to 478,846.32, 718,280.40 and 141,880.65 is: 212,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,846.32 : 718,280.40 = 141,880.65 : x
  2. Step 2: Convert to fraction form
    478,846.32/718,280.40 = 141,880.65/x
  3. Step 3: Cross multiply
    478,846.32x = 718,280.40 × 141,880.65
  4. Step 4: Simplify right side
    478,846.32x = 101,910,090,034.26
  5. Step 5: Solve for x
    x = 101,910,090,034.26/478,846.32
  6. Step 6: Final answer
    x = 212,824.21

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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.