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Finding the Fourth Proportional to 405,031.93, 607,545.70 and 165,144.90

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Solution

The fourth proportional to 405,031.93, 607,545.70 and 165,144.90 is: 247,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,031.93 : 607,545.70 = 165,144.90 : x
  2. Step 2: Convert to fraction form
    405,031.93/607,545.70 = 165,144.90/x
  3. Step 3: Cross multiply
    405,031.93x = 607,545.70 × 165,144.90
  4. Step 4: Simplify right side
    405,031.93x = 100,333,071,757.97
  5. Step 5: Solve for x
    x = 100,333,071,757.97/405,031.93
  6. Step 6: Final answer
    x = 247,716.45

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1.5x scale

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.