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Finding the Fourth Proportional to 527,798.73, 728,363.54 and 286,081.07

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Solution

The fourth proportional to 527,798.73, 728,363.54 and 286,081.07 is: 394,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,798.73 : 728,363.54 = 286,081.07 : x
  2. Step 2: Convert to fraction form
    527,798.73/728,363.54 = 286,081.07/x
  3. Step 3: Cross multiply
    527,798.73x = 728,363.54 × 286,081.07
  4. Step 4: Simplify right side
    527,798.73x = 208,371,017,945.57
  5. Step 5: Solve for x
    x = 208,371,017,945.57/527,798.73
  6. Step 6: Final answer
    x = 394,792.57

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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.