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Finding the Fourth Proportional to 407,662.65, 611,734.59 and 155,155.77

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Solution

The fourth proportional to 407,662.65, 611,734.59 and 155,155.77 is: 232,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,662.65 : 611,734.59 = 155,155.77 : x
  2. Step 2: Convert to fraction form
    407,662.65/611,734.59 = 155,155.77/x
  3. Step 3: Cross multiply
    407,662.65x = 611,734.59 × 155,155.77
  4. Step 4: Simplify right side
    407,662.65x = 94,914,151,347.08
  5. Step 5: Solve for x
    x = 94,914,151,347.08/407,662.65
  6. Step 6: Final answer
    x = 232,825.23

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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.