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Finding the Fourth Proportional to 405,086.40, 607,240.80 and 315,079.20

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Solution

The fourth proportional to 405,086.40, 607,240.80 and 315,079.20 is: 472,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,086.40 : 607,240.80 = 315,079.20 : x
  2. Step 2: Convert to fraction form
    405,086.40/607,240.80 = 315,079.20/x
  3. Step 3: Cross multiply
    405,086.40x = 607,240.80 × 315,079.20
  4. Step 4: Simplify right side
    405,086.40x = 191,328,945,471.36
  5. Step 5: Solve for x
    x = 191,328,945,471.36/405,086.40
  6. Step 6: Final answer
    x = 472,316.39

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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.