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Finding the Fourth Proportional to 525,120, 724,665.60 and 286,656

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Solution

The fourth proportional to 525,120, 724,665.60 and 286,656 is: 395,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,120 : 724,665.60 = 286,656 : x
  2. Step 2: Convert to fraction form
    525,120/724,665.60 = 286,656/x
  3. Step 3: Cross multiply
    525,120x = 724,665.60 × 286,656
  4. Step 4: Simplify right side
    525,120x = 207,729,742,233.60
  5. Step 5: Solve for x
    x = 207,729,742,233.60/525,120
  6. Step 6: Final answer
    x = 395,585.28

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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.