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Finding the Fourth Proportional to 405,100.40, 607,261.80 and 315,093.20

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Solution

The fourth proportional to 405,100.40, 607,261.80 and 315,093.20 is: 472,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,100.40 : 607,261.80 = 315,093.20 : x
  2. Step 2: Convert to fraction form
    405,100.40/607,261.80 = 315,093.20/x
  3. Step 3: Cross multiply
    405,100.40x = 607,261.80 × 315,093.20
  4. Step 4: Simplify right side
    405,100.40x = 191,344,063,799.76
  5. Step 5: Solve for x
    x = 191,344,063,799.76/405,100.40
  6. Step 6: Final answer
    x = 472,337.39

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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.