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Finding the Fourth Proportional to 390,483.99, 585,057.33 and 213,115.46

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Solution

The fourth proportional to 390,483.99, 585,057.33 and 213,115.46 is: 319,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,483.99 : 585,057.33 = 213,115.46 : x
  2. Step 2: Convert to fraction form
    390,483.99/585,057.33 = 213,115.46/x
  3. Step 3: Cross multiply
    390,483.99x = 585,057.33 × 213,115.46
  4. Step 4: Simplify right side
    390,483.99x = 124,684,759,084.04
  5. Step 5: Solve for x
    x = 124,684,759,084.04/390,483.99
  6. Step 6: Final answer
    x = 319,308.25

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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.