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Finding the Fourth Proportional to 564,345.66, 778,806.51 and 309,720.54

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Solution

The fourth proportional to 564,345.66, 778,806.51 and 309,720.54 is: 427,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,345.66 : 778,806.51 = 309,720.54 : x
  2. Step 2: Convert to fraction form
    564,345.66/778,806.51 = 309,720.54/x
  3. Step 3: Cross multiply
    564,345.66x = 778,806.51 × 309,720.54
  4. Step 4: Simplify right side
    564,345.66x = 241,212,372,832.72
  5. Step 5: Solve for x
    x = 241,212,372,832.72/564,345.66
  6. Step 6: Final answer
    x = 427,419.56

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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.