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Finding the Fourth Proportional to 294,864.78, 406,913.40 and 160,728.78

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Solution

The fourth proportional to 294,864.78, 406,913.40 and 160,728.78 is: 221,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,864.78 : 406,913.40 = 160,728.78 : x
  2. Step 2: Convert to fraction form
    294,864.78/406,913.40 = 160,728.78/x
  3. Step 3: Cross multiply
    294,864.78x = 406,913.40 × 160,728.78
  4. Step 4: Simplify right side
    294,864.78x = 65,402,694,347.65
  5. Step 5: Solve for x
    x = 65,402,694,347.65/294,864.78
  6. Step 6: Final answer
    x = 221,805.72

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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.