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Finding the Fourth Proportional to 525,663.50, 725,415.63 and 287,199.50

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Solution

The fourth proportional to 525,663.50, 725,415.63 and 287,199.50 is: 396,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,663.50 : 725,415.63 = 287,199.50 : x
  2. Step 2: Convert to fraction form
    525,663.50/725,415.63 = 287,199.50/x
  3. Step 3: Cross multiply
    525,663.50x = 725,415.63 × 287,199.50
  4. Step 4: Simplify right side
    525,663.50x = 208,339,006,228.19
  5. Step 5: Solve for x
    x = 208,339,006,228.19/525,663.50
  6. Step 6: Final answer
    x = 396,335.31

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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.