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Finding the Fourth Proportional to 525,121.50, 724,667.67 and 286,657.50

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Solution

The fourth proportional to 525,121.50, 724,667.67 and 286,657.50 is: 395,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,121.50 : 724,667.67 = 286,657.50 : x
  2. Step 2: Convert to fraction form
    525,121.50/724,667.67 = 286,657.50/x
  3. Step 3: Cross multiply
    525,121.50x = 724,667.67 × 286,657.50
  4. Step 4: Simplify right side
    525,121.50x = 207,731,422,613.03
  5. Step 5: Solve for x
    x = 207,731,422,613.03/525,121.50
  6. Step 6: Final answer
    x = 395,587.35

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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.