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Finding the Fourth Proportional to 525,980.64, 725,856.59 and 284,262.62

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Solution

The fourth proportional to 525,980.64, 725,856.59 and 284,262.62 is: 392,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,980.64 : 725,856.59 = 284,262.62 : x
  2. Step 2: Convert to fraction form
    525,980.64/725,856.59 = 284,262.62/x
  3. Step 3: Cross multiply
    525,980.64x = 725,856.59 × 284,262.62
  4. Step 4: Simplify right side
    525,980.64x = 206,333,893,099.04
  5. Step 5: Solve for x
    x = 206,333,893,099.04/525,980.64
  6. Step 6: Final answer
    x = 392,284.20

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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.