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Finding the Fourth Proportional to 289,741.30, 399,884 and 160,708.30

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Solution

The fourth proportional to 289,741.30, 399,884 and 160,708.30 is: 221,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,741.30 : 399,884 = 160,708.30 : x
  2. Step 2: Convert to fraction form
    289,741.30/399,884 = 160,708.30/x
  3. Step 3: Cross multiply
    289,741.30x = 399,884 × 160,708.30
  4. Step 4: Simplify right side
    289,741.30x = 64,264,677,837.20
  5. Step 5: Solve for x
    x = 64,264,677,837.20/289,741.30
  6. Step 6: Final answer
    x = 221,800.20

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1.5x scale

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.