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Finding the Fourth Proportional to 289,746.88, 399,843.12 and 162,430.72

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Solution

The fourth proportional to 289,746.88, 399,843.12 and 162,430.72 is: 224,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,746.88 : 399,843.12 = 162,430.72 : x
  2. Step 2: Convert to fraction form
    289,746.88/399,843.12 = 162,430.72/x
  3. Step 3: Cross multiply
    289,746.88x = 399,843.12 × 162,430.72
  4. Step 4: Simplify right side
    289,746.88x = 64,946,805,868.65
  5. Step 5: Solve for x
    x = 64,946,805,868.65/289,746.88
  6. Step 6: Final answer
    x = 224,150.15

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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.