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Finding the Fourth Proportional to 648,322.56, 972,518.40 and 205,056

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Solution

The fourth proportional to 648,322.56, 972,518.40 and 205,056 is: 307,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,322.56 : 972,518.40 = 205,056 : x
  2. Step 2: Convert to fraction form
    648,322.56/972,518.40 = 205,056/x
  3. Step 3: Cross multiply
    648,322.56x = 972,518.40 × 205,056
  4. Step 4: Simplify right side
    648,322.56x = 199,420,733,030.40
  5. Step 5: Solve for x
    x = 199,420,733,030.40/648,322.56
  6. Step 6: Final answer
    x = 307,594.93

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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.