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Finding the Fourth Proportional to 289,810.70, 434,513.55 and 171,421.10

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Solution

The fourth proportional to 289,810.70, 434,513.55 and 171,421.10 is: 257,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,810.70 : 434,513.55 = 171,421.10 : x
  2. Step 2: Convert to fraction form
    289,810.70/434,513.55 = 171,421.10/x
  3. Step 3: Cross multiply
    289,810.70x = 434,513.55 × 171,421.10
  4. Step 4: Simplify right side
    289,810.70x = 74,484,790,705.91
  5. Step 5: Solve for x
    x = 74,484,790,705.91/289,810.70
  6. Step 6: Final answer
    x = 257,011.87

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1.5x scale

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.