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Finding the Fourth Proportional to 648,482.50, 972,728.07 and 205,250.50

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Solution

The fourth proportional to 648,482.50, 972,728.07 and 205,250.50 is: 307,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,482.50 : 972,728.07 = 205,250.50 : x
  2. Step 2: Convert to fraction form
    648,482.50/972,728.07 = 205,250.50/x
  3. Step 3: Cross multiply
    648,482.50x = 972,728.07 × 205,250.50
  4. Step 4: Simplify right side
    648,482.50x = 199,652,922,731.54
  5. Step 5: Solve for x
    x = 199,652,922,731.54/648,482.50
  6. Step 6: Final answer
    x = 307,877.12

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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.