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Finding the Fourth Proportional to 478,143.64, 659,838.21 and 263,283.16

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Solution

The fourth proportional to 478,143.64, 659,838.21 and 263,283.16 is: 363,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,143.64 : 659,838.21 = 263,283.16 : x
  2. Step 2: Convert to fraction form
    478,143.64/659,838.21 = 263,283.16/x
  3. Step 3: Cross multiply
    478,143.64x = 659,838.21 × 263,283.16
  4. Step 4: Simplify right side
    478,143.64x = 173,724,289,017.54
  5. Step 5: Solve for x
    x = 173,724,289,017.54/478,143.64
  6. Step 6: Final answer
    x = 363,330.75

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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.