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Finding the Fourth Proportional to 468,258.78, 646,197.12 and 253,398.84

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Solution

The fourth proportional to 468,258.78, 646,197.12 and 253,398.84 is: 349,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,258.78 : 646,197.12 = 253,398.84 : x
  2. Step 2: Convert to fraction form
    468,258.78/646,197.12 = 253,398.84/x
  3. Step 3: Cross multiply
    468,258.78x = 646,197.12 × 253,398.84
  4. Step 4: Simplify right side
    468,258.78x = 163,745,600,619.34
  5. Step 5: Solve for x
    x = 163,745,600,619.34/468,258.78
  6. Step 6: Final answer
    x = 349,690.40

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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.