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Finding the Fourth Proportional to 478,908.10, 660,971.91 and 288,026.74

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Solution

The fourth proportional to 478,908.10, 660,971.91 and 288,026.74 is: 397,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,908.10 : 660,971.91 = 288,026.74 : x
  2. Step 2: Convert to fraction form
    478,908.10/660,971.91 = 288,026.74/x
  3. Step 3: Cross multiply
    478,908.10x = 660,971.91 × 288,026.74
  4. Step 4: Simplify right side
    478,908.10x = 190,377,584,468.87
  5. Step 5: Solve for x
    x = 190,377,584,468.87/478,908.10
  6. Step 6: Final answer
    x = 397,524.25

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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.