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Finding the Fourth Proportional to 478,321, 660,082.98 and 277,233.64

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Solution

The fourth proportional to 478,321, 660,082.98 and 277,233.64 is: 382,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,321 : 660,082.98 = 277,233.64 : x
  2. Step 2: Convert to fraction form
    478,321/660,082.98 = 277,233.64/x
  3. Step 3: Cross multiply
    478,321x = 660,082.98 × 277,233.64
  4. Step 4: Simplify right side
    478,321x = 182,997,207,247.45
  5. Step 5: Solve for x
    x = 182,997,207,247.45/478,321
  6. Step 6: Final answer
    x = 382,582.42

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1.5x scale

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.