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Finding the Fourth Proportional to 646,881.40, 970,667.70 and 291,950.20

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Solution

The fourth proportional to 646,881.40, 970,667.70 and 291,950.20 is: 438,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,881.40 : 970,667.70 = 291,950.20 : x
  2. Step 2: Convert to fraction form
    646,881.40/970,667.70 = 291,950.20/x
  3. Step 3: Cross multiply
    646,881.40x = 970,667.70 × 291,950.20
  4. Step 4: Simplify right side
    646,881.40x = 283,386,629,148.54
  5. Step 5: Solve for x
    x = 283,386,629,148.54/646,881.40
  6. Step 6: Final answer
    x = 438,081.28

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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.