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Finding the Fourth Proportional to 390,502.55, 585,085.14 and 213,134.02

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Solution

The fourth proportional to 390,502.55, 585,085.14 and 213,134.02 is: 319,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,502.55 : 585,085.14 = 213,134.02 : x
  2. Step 2: Convert to fraction form
    390,502.55/585,085.14 = 213,134.02/x
  3. Step 3: Cross multiply
    390,502.55x = 585,085.14 × 213,134.02
  4. Step 4: Simplify right side
    390,502.55x = 124,701,546,467.75
  5. Step 5: Solve for x
    x = 124,701,546,467.75/390,502.55
  6. Step 6: Final answer
    x = 319,336.06

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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.