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Finding the Fourth Proportional to 525,772.40, 788,342.70 and 205,542.86

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Solution

The fourth proportional to 525,772.40, 788,342.70 and 205,542.86 is: 308,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,772.40 : 788,342.70 = 205,542.86 : x
  2. Step 2: Convert to fraction form
    525,772.40/788,342.70 = 205,542.86/x
  3. Step 3: Cross multiply
    525,772.40x = 788,342.70 × 205,542.86
  4. Step 4: Simplify right side
    525,772.40x = 162,038,209,276.41
  5. Step 5: Solve for x
    x = 162,038,209,276.41/525,772.40
  6. Step 6: Final answer
    x = 308,190.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.