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Finding the Fourth Proportional to 294,651, 406,618.38 and 160,515

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Solution

The fourth proportional to 294,651, 406,618.38 and 160,515 is: 221,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,651 : 406,618.38 = 160,515 : x
  2. Step 2: Convert to fraction form
    294,651/406,618.38 = 160,515/x
  3. Step 3: Cross multiply
    294,651x = 406,618.38 × 160,515
  4. Step 4: Simplify right side
    294,651x = 65,268,349,265.70
  5. Step 5: Solve for x
    x = 65,268,349,265.70/294,651
  6. Step 6: Final answer
    x = 221,510.70

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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.