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Finding the Fourth Proportional to 407,808.24, 611,712.72 and 155,029.36

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Solution

The fourth proportional to 407,808.24, 611,712.72 and 155,029.36 is: 232,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,808.24 : 611,712.72 = 155,029.36 : x
  2. Step 2: Convert to fraction form
    407,808.24/611,712.72 = 155,029.36/x
  3. Step 3: Cross multiply
    407,808.24x = 611,712.72 × 155,029.36
  4. Step 4: Simplify right side
    407,808.24x = 94,833,431,485.46
  5. Step 5: Solve for x
    x = 94,833,431,485.46/407,808.24
  6. Step 6: Final answer
    x = 232,544.18

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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.