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Finding the Fourth Proportional to 501,259.48, 691,674.15 and 286,413.46

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Solution

The fourth proportional to 501,259.48, 691,674.15 and 286,413.46 is: 395,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,259.48 : 691,674.15 = 286,413.46 : x
  2. Step 2: Convert to fraction form
    501,259.48/691,674.15 = 286,413.46/x
  3. Step 3: Cross multiply
    501,259.48x = 691,674.15 × 286,413.46
  4. Step 4: Simplify right side
    501,259.48x = 198,104,786,494.06
  5. Step 5: Solve for x
    x = 198,104,786,494.06/501,259.48
  6. Step 6: Final answer
    x = 395,214.04

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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.