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Finding the Fourth Proportional to 405,103.40, 607,266.30 and 315,096.20

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Solution

The fourth proportional to 405,103.40, 607,266.30 and 315,096.20 is: 472,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,103.40 : 607,266.30 = 315,096.20 : x
  2. Step 2: Convert to fraction form
    405,103.40/607,266.30 = 315,096.20/x
  3. Step 3: Cross multiply
    405,103.40x = 607,266.30 × 315,096.20
  4. Step 4: Simplify right side
    405,103.40x = 191,347,303,518.06
  5. Step 5: Solve for x
    x = 191,347,303,518.06/405,103.40
  6. Step 6: Final answer
    x = 472,341.88

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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.