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Finding the Fourth Proportional to 390,459.24, 585,020.43 and 213,090.84

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Solution

The fourth proportional to 390,459.24, 585,020.43 and 213,090.84 is: 319,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,459.24 : 585,020.43 = 213,090.84 : x
  2. Step 2: Convert to fraction form
    390,459.24/585,020.43 = 213,090.84/x
  3. Step 3: Cross multiply
    390,459.24x = 585,020.43 × 213,090.84
  4. Step 4: Simplify right side
    390,459.24x = 124,662,494,845.86
  5. Step 5: Solve for x
    x = 124,662,494,845.86/390,459.24
  6. Step 6: Final answer
    x = 319,271.47

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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.