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Finding the Fourth Proportional to 347,985.60, 521,978.40 and 259,412.10

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Solution

The fourth proportional to 347,985.60, 521,978.40 and 259,412.10 is: 389,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,985.60 : 521,978.40 = 259,412.10 : x
  2. Step 2: Convert to fraction form
    347,985.60/521,978.40 = 259,412.10/x
  3. Step 3: Cross multiply
    347,985.60x = 521,978.40 × 259,412.10
  4. Step 4: Simplify right side
    347,985.60x = 135,407,512,898.64
  5. Step 5: Solve for x
    x = 135,407,512,898.64/347,985.60
  6. Step 6: Final answer
    x = 389,118.15

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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.