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Finding the Fourth Proportional to 648,148.51, 970,920.59 and 322,955.75

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Solution

The fourth proportional to 648,148.51, 970,920.59 and 322,955.75 is: 483,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,148.51 : 970,920.59 = 322,955.75 : x
  2. Step 2: Convert to fraction form
    648,148.51/970,920.59 = 322,955.75/x
  3. Step 3: Cross multiply
    648,148.51x = 970,920.59 × 322,955.75
  4. Step 4: Simplify right side
    648,148.51x = 313,564,388,146.42
  5. Step 5: Solve for x
    x = 313,564,388,146.42/648,148.51
  6. Step 6: Final answer
    x = 483,784.79

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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.