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Finding the Fourth Proportional to 525,220.74, 788,029.64 and 205,601.01

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Solution

The fourth proportional to 525,220.74, 788,029.64 and 205,601.01 is: 308,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,220.74 : 788,029.64 = 205,601.01 : x
  2. Step 2: Convert to fraction form
    525,220.74/788,029.64 = 205,601.01/x
  3. Step 3: Cross multiply
    525,220.74x = 788,029.64 × 205,601.01
  4. Step 4: Simplify right side
    525,220.74x = 162,019,688,865.93
  5. Step 5: Solve for x
    x = 162,019,688,865.93/525,220.74
  6. Step 6: Final answer
    x = 308,479.23

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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.