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Finding the Fourth Proportional to 468,045.64, 645,902.10 and 253,185.88

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Solution

The fourth proportional to 468,045.64, 645,902.10 and 253,185.88 is: 349,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,045.64 : 645,902.10 = 253,185.88 : x
  2. Step 2: Convert to fraction form
    468,045.64/645,902.10 = 253,185.88/x
  3. Step 3: Cross multiply
    468,045.64x = 645,902.10 × 253,185.88
  4. Step 4: Simplify right side
    468,045.64x = 163,533,291,582.35
  5. Step 5: Solve for x
    x = 163,533,291,582.35/468,045.64
  6. Step 6: Final answer
    x = 349,396.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.