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Finding the Fourth Proportional to 509,702.04, 764,645.22 and 210,015.90

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Solution

The fourth proportional to 509,702.04, 764,645.22 and 210,015.90 is: 315,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,702.04 : 764,645.22 = 210,015.90 : x
  2. Step 2: Convert to fraction form
    509,702.04/764,645.22 = 210,015.90/x
  3. Step 3: Cross multiply
    509,702.04x = 764,645.22 × 210,015.90
  4. Step 4: Simplify right side
    509,702.04x = 160,587,654,059.00
  5. Step 5: Solve for x
    x = 160,587,654,059.00/509,702.04
  6. Step 6: Final answer
    x = 315,061.82

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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.