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Finding the Fourth Proportional to 478,698.46, 660,574.20 and 263,840.32

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Solution

The fourth proportional to 478,698.46, 660,574.20 and 263,840.32 is: 364,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,698.46 : 660,574.20 = 263,840.32 : x
  2. Step 2: Convert to fraction form
    478,698.46/660,574.20 = 263,840.32/x
  3. Step 3: Cross multiply
    478,698.46x = 660,574.20 × 263,840.32
  4. Step 4: Simplify right side
    478,698.46x = 174,286,108,311.74
  5. Step 5: Solve for x
    x = 174,286,108,311.74/478,698.46
  6. Step 6: Final answer
    x = 364,083.29

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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.