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Finding the Fourth Proportional to 525,730.89, 788,661.90 and 205,841.46

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Solution

The fourth proportional to 525,730.89, 788,661.90 and 205,841.46 is: 308,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,730.89 : 788,661.90 = 205,841.46 : x
  2. Step 2: Convert to fraction form
    525,730.89/788,661.90 = 205,841.46/x
  3. Step 3: Cross multiply
    525,730.89x = 788,661.90 × 205,841.46
  4. Step 4: Simplify right side
    525,730.89x = 162,339,316,942.37
  5. Step 5: Solve for x
    x = 162,339,316,942.37/525,730.89
  6. Step 6: Final answer
    x = 308,787.86

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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.