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Finding the Fourth Proportional to 380,220.84, 570,216.06 and 158,553

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Solution

The fourth proportional to 380,220.84, 570,216.06 and 158,553 is: 237,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,220.84 : 570,216.06 = 158,553 : x
  2. Step 2: Convert to fraction form
    380,220.84/570,216.06 = 158,553/x
  3. Step 3: Cross multiply
    380,220.84x = 570,216.06 × 158,553
  4. Step 4: Simplify right side
    380,220.84x = 90,409,466,961.18
  5. Step 5: Solve for x
    x = 90,409,466,961.18/380,220.84
  6. Step 6: Final answer
    x = 237,781.46

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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.