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Finding the Fourth Proportional to 289,827.80, 434,741.70 and 165,411.80

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Solution

The fourth proportional to 289,827.80, 434,741.70 and 165,411.80 is: 248,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,827.80 : 434,741.70 = 165,411.80 : x
  2. Step 2: Convert to fraction form
    289,827.80/434,741.70 = 165,411.80/x
  3. Step 3: Cross multiply
    289,827.80x = 434,741.70 × 165,411.80
  4. Step 4: Simplify right side
    289,827.80x = 71,911,407,132.06
  5. Step 5: Solve for x
    x = 71,911,407,132.06/289,827.80
  6. Step 6: Final answer
    x = 248,117.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.