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Finding the Fourth Proportional to 613,539.90, 920,351.90 and 208,567.32

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Solution

The fourth proportional to 613,539.90, 920,351.90 and 208,567.32 is: 312,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,539.90 : 920,351.90 = 208,567.32 : x
  2. Step 2: Convert to fraction form
    613,539.90/920,351.90 = 208,567.32/x
  3. Step 3: Cross multiply
    613,539.90x = 920,351.90 × 208,567.32
  4. Step 4: Simplify right side
    613,539.90x = 191,955,328,197.07
  5. Step 5: Solve for x
    x = 191,955,328,197.07/613,539.90
  6. Step 6: Final answer
    x = 312,865.27

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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.