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Finding the Fourth Proportional to 556,824.89, 768,418.34 and 302,176.08

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Solution

The fourth proportional to 556,824.89, 768,418.34 and 302,176.08 is: 417,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,824.89 : 768,418.34 = 302,176.08 : x
  2. Step 2: Convert to fraction form
    556,824.89/768,418.34 = 302,176.08/x
  3. Step 3: Cross multiply
    556,824.89x = 768,418.34 × 302,176.08
  4. Step 4: Simplify right side
    556,824.89x = 232,197,640,270.43
  5. Step 5: Solve for x
    x = 232,197,640,270.43/556,824.89
  6. Step 6: Final answer
    x = 417,002.98

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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.