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Finding the Fourth Proportional to 704,867.78, 972,718.64 and 382,578

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Solution

The fourth proportional to 704,867.78, 972,718.64 and 382,578 is: 527,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,867.78 : 972,718.64 = 382,578 : x
  2. Step 2: Convert to fraction form
    704,867.78/972,718.64 = 382,578/x
  3. Step 3: Cross multiply
    704,867.78x = 972,718.64 × 382,578
  4. Step 4: Simplify right side
    704,867.78x = 372,140,749,941.03
  5. Step 5: Solve for x
    x = 372,140,749,941.03/704,867.78
  6. Step 6: Final answer
    x = 527,958.24

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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.