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Finding the Fourth Proportional to 530,404.80, 795,655.80 and 214,796.40

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Solution

The fourth proportional to 530,404.80, 795,655.80 and 214,796.40 is: 322,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,404.80 : 795,655.80 = 214,796.40 : x
  2. Step 2: Convert to fraction form
    530,404.80/795,655.80 = 214,796.40/x
  3. Step 3: Cross multiply
    530,404.80x = 795,655.80 × 214,796.40
  4. Step 4: Simplify right side
    530,404.80x = 170,904,001,479.12
  5. Step 5: Solve for x
    x = 170,904,001,479.12/530,404.80
  6. Step 6: Final answer
    x = 322,214.28

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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.