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Finding the Fourth Proportional to 613,539.78, 920,351.71 and 208,567.19

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Solution

The fourth proportional to 613,539.78, 920,351.71 and 208,567.19 is: 312,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,539.78 : 920,351.71 = 208,567.19 : x
  2. Step 2: Convert to fraction form
    613,539.78/920,351.71 = 208,567.19/x
  3. Step 3: Cross multiply
    613,539.78x = 920,351.71 × 208,567.19
  4. Step 4: Simplify right side
    613,539.78x = 191,955,169,966.40
  5. Step 5: Solve for x
    x = 191,955,169,966.40/613,539.78
  6. Step 6: Final answer
    x = 312,865.08

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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.