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Finding the Fourth Proportional to 390,823.59, 585,935 and 198,539.94

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Solution

The fourth proportional to 390,823.59, 585,935 and 198,539.94 is: 297,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,823.59 : 585,935 = 198,539.94 : x
  2. Step 2: Convert to fraction form
    390,823.59/585,935 = 198,539.94/x
  3. Step 3: Cross multiply
    390,823.59x = 585,935 × 198,539.94
  4. Step 4: Simplify right side
    390,823.59x = 116,331,496,814.23
  5. Step 5: Solve for x
    x = 116,331,496,814.23/390,823.59
  6. Step 6: Final answer
    x = 297,657.30

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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.