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Finding the Fourth Proportional to 398,510.12, 597,894.42 and 238,561.15

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Solution

The fourth proportional to 398,510.12, 597,894.42 and 238,561.15 is: 357,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,510.12 : 597,894.42 = 238,561.15 : x
  2. Step 2: Convert to fraction form
    398,510.12/597,894.42 = 238,561.15/x
  3. Step 3: Cross multiply
    398,510.12x = 597,894.42 × 238,561.15
  4. Step 4: Simplify right side
    398,510.12x = 142,634,376,231.51
  5. Step 5: Solve for x
    x = 142,634,376,231.51/398,510.12
  6. Step 6: Final answer
    x = 357,919.08

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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.