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Finding the Fourth Proportional to 555,985.52, 767,213.84 and 314,255.60

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Solution

The fourth proportional to 555,985.52, 767,213.84 and 314,255.60 is: 433,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,985.52 : 767,213.84 = 314,255.60 : x
  2. Step 2: Convert to fraction form
    555,985.52/767,213.84 = 314,255.60/x
  3. Step 3: Cross multiply
    555,985.52x = 767,213.84 × 314,255.60
  4. Step 4: Simplify right side
    555,985.52x = 241,101,245,617.50
  5. Step 5: Solve for x
    x = 241,101,245,617.50/555,985.52
  6. Step 6: Final answer
    x = 433,646.63

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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.