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Finding the Fourth Proportional to 294,820, 406,862.80 and 160,684

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Solution

The fourth proportional to 294,820, 406,862.80 and 160,684 is: 221,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,820 : 406,862.80 = 160,684 : x
  2. Step 2: Convert to fraction form
    294,820/406,862.80 = 160,684/x
  3. Step 3: Cross multiply
    294,820x = 406,862.80 × 160,684
  4. Step 4: Simplify right side
    294,820x = 65,376,342,155.20
  5. Step 5: Solve for x
    x = 65,376,342,155.20/294,820
  6. Step 6: Final answer
    x = 221,750.02

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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.