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Finding the Fourth Proportional to 309,871.16, 464,730.18 and 85,220.69

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Solution

The fourth proportional to 309,871.16, 464,730.18 and 85,220.69 is: 127,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,871.16 : 464,730.18 = 85,220.69 : x
  2. Step 2: Convert to fraction form
    309,871.16/464,730.18 = 85,220.69/x
  3. Step 3: Cross multiply
    309,871.16x = 464,730.18 × 85,220.69
  4. Step 4: Simplify right side
    309,871.16x = 39,604,624,279.77
  5. Step 5: Solve for x
    x = 39,604,624,279.77/309,871.16
  6. Step 6: Final answer
    x = 127,809.97

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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.