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Finding the Fourth Proportional to 294,877.78, 406,931.34 and 160,741.78

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Solution

The fourth proportional to 294,877.78, 406,931.34 and 160,741.78 is: 221,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,877.78 : 406,931.34 = 160,741.78 : x
  2. Step 2: Convert to fraction form
    294,877.78/406,931.34 = 160,741.78/x
  3. Step 3: Cross multiply
    294,877.78x = 406,931.34 × 160,741.78
  4. Step 4: Simplify right side
    294,877.78x = 65,410,867,929.39
  5. Step 5: Solve for x
    x = 65,410,867,929.39/294,877.78
  6. Step 6: Final answer
    x = 221,823.66

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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.