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Finding the Fourth Proportional to 386,089.68, 578,346.12 and 198,707.52

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Solution

The fourth proportional to 386,089.68, 578,346.12 and 198,707.52 is: 297,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,089.68 : 578,346.12 = 198,707.52 : x
  2. Step 2: Convert to fraction form
    386,089.68/578,346.12 = 198,707.52/x
  3. Step 3: Cross multiply
    386,089.68x = 578,346.12 × 198,707.52
  4. Step 4: Simplify right side
    386,089.68x = 114,921,723,206.82
  5. Step 5: Solve for x
    x = 114,921,723,206.82/386,089.68
  6. Step 6: Final answer
    x = 297,655.52

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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.