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Finding the Fourth Proportional to 525,689.60, 788,523.00 and 146,600.21

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Solution

The fourth proportional to 525,689.60, 788,523.00 and 146,600.21 is: 219,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,689.60 : 788,523.00 = 146,600.21 : x
  2. Step 2: Convert to fraction form
    525,689.60/788,523.00 = 146,600.21/x
  3. Step 3: Cross multiply
    525,689.60x = 788,523.00 × 146,600.21
  4. Step 4: Simplify right side
    525,689.60x = 115,597,639,636.01
  5. Step 5: Solve for x
    x = 115,597,639,636.01/525,689.60
  6. Step 6: Final answer
    x = 219,897.14

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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.