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Finding the Fourth Proportional to 567,258.49, 782,816.85 and 309,135.51

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Solution

The fourth proportional to 567,258.49, 782,816.85 and 309,135.51 is: 426,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,258.49 : 782,816.85 = 309,135.51 : x
  2. Step 2: Convert to fraction form
    567,258.49/782,816.85 = 309,135.51/x
  3. Step 3: Cross multiply
    567,258.49x = 782,816.85 × 309,135.51
  4. Step 4: Simplify right side
    567,258.49x = 241,996,486,161.34
  5. Step 5: Solve for x
    x = 241,996,486,161.34/567,258.49
  6. Step 6: Final answer
    x = 426,607.08

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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.