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Finding the Fourth Proportional to 334,720.06, 461,780.12 and 213,830

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Solution

The fourth proportional to 334,720.06, 461,780.12 and 213,830 is: 295,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,720.06 : 461,780.12 = 213,830 : x
  2. Step 2: Convert to fraction form
    334,720.06/461,780.12 = 213,830/x
  3. Step 3: Cross multiply
    334,720.06x = 461,780.12 × 213,830
  4. Step 4: Simplify right side
    334,720.06x = 98,742,443,059.60
  5. Step 5: Solve for x
    x = 98,742,443,059.60/334,720.06
  6. Step 6: Final answer
    x = 295,000.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.