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Finding the Fourth Proportional to 389,987.76, 584,978.88 and 109,505.28

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Solution

The fourth proportional to 389,987.76, 584,978.88 and 109,505.28 is: 164,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,987.76 : 584,978.88 = 109,505.28 : x
  2. Step 2: Convert to fraction form
    389,987.76/584,978.88 = 109,505.28/x
  3. Step 3: Cross multiply
    389,987.76x = 584,978.88 × 109,505.28
  4. Step 4: Simplify right side
    389,987.76x = 64,058,276,048.49
  5. Step 5: Solve for x
    x = 64,058,276,048.49/389,987.76
  6. Step 6: Final answer
    x = 164,257.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.