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Finding the Fourth Proportional to 648,840.40, 972,648.06 and 312,071.56

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Solution

The fourth proportional to 648,840.40, 972,648.06 and 312,071.56 is: 467,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,840.40 : 972,648.06 = 312,071.56 : x
  2. Step 2: Convert to fraction form
    648,840.40/972,648.06 = 312,071.56/x
  3. Step 3: Cross multiply
    648,840.40x = 972,648.06 × 312,071.56
  4. Step 4: Simplify right side
    648,840.40x = 303,535,797,415.17
  5. Step 5: Solve for x
    x = 303,535,797,415.17/648,840.40
  6. Step 6: Final answer
    x = 467,812.73

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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.