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Finding the Fourth Proportional to 528,449.48, 729,258.36 and 313,766

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Solution

The fourth proportional to 528,449.48, 729,258.36 and 313,766 is: 432,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,449.48 : 729,258.36 = 313,766 : x
  2. Step 2: Convert to fraction form
    528,449.48/729,258.36 = 313,766/x
  3. Step 3: Cross multiply
    528,449.48x = 729,258.36 × 313,766
  4. Step 4: Simplify right side
    528,449.48x = 228,816,478,583.76
  5. Step 5: Solve for x
    x = 228,816,478,583.76/528,449.48
  6. Step 6: Final answer
    x = 432,995.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.