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Finding the Fourth Proportional to 289,521.67, 399,530.23 and 160,454.65

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Solution

The fourth proportional to 289,521.67, 399,530.23 and 160,454.65 is: 221,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,521.67 : 399,530.23 = 160,454.65 : x
  2. Step 2: Convert to fraction form
    289,521.67/399,530.23 = 160,454.65/x
  3. Step 3: Cross multiply
    289,521.67x = 399,530.23 × 160,454.65
  4. Step 4: Simplify right side
    289,521.67x = 64,106,483,219.07
  5. Step 5: Solve for x
    x = 64,106,483,219.07/289,521.67
  6. Step 6: Final answer
    x = 221,422.06

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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.