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Finding the Fourth Proportional to 405,195.58, 607,793.64 and 105,675.40

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Solution

The fourth proportional to 405,195.58, 607,793.64 and 105,675.40 is: 158,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,195.58 : 607,793.64 = 105,675.40 : x
  2. Step 2: Convert to fraction form
    405,195.58/607,793.64 = 105,675.40/x
  3. Step 3: Cross multiply
    405,195.58x = 607,793.64 × 105,675.40
  4. Step 4: Simplify right side
    405,195.58x = 64,228,836,024.46
  5. Step 5: Solve for x
    x = 64,228,836,024.46/405,195.58
  6. Step 6: Final answer
    x = 158,513.17

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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.