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Finding the Fourth Proportional to 648,480, 972,724.32 and 205,248

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Solution

The fourth proportional to 648,480, 972,724.32 and 205,248 is: 307,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,480 : 972,724.32 = 205,248 : x
  2. Step 2: Convert to fraction form
    648,480/972,724.32 = 205,248/x
  3. Step 3: Cross multiply
    648,480x = 972,724.32 × 205,248
  4. Step 4: Simplify right side
    648,480x = 199,649,721,231.36
  5. Step 5: Solve for x
    x = 199,649,721,231.36/648,480
  6. Step 6: Final answer
    x = 307,873.37

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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.