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Finding the Fourth Proportional to 407,825.80, 611,599.26 and 155,045.32

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Solution

The fourth proportional to 407,825.80, 611,599.26 and 155,045.32 is: 232,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,825.80 : 611,599.26 = 155,045.32 : x
  2. Step 2: Convert to fraction form
    407,825.80/611,599.26 = 155,045.32/x
  3. Step 3: Cross multiply
    407,825.80x = 611,599.26 × 155,045.32
  4. Step 4: Simplify right side
    407,825.80x = 94,825,602,978.46
  5. Step 5: Solve for x
    x = 94,825,602,978.46/407,825.80
  6. Step 6: Final answer
    x = 232,514.97

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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.