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Finding the Fourth Proportional to 460,971.61, 691,206.82 and 207,955.76

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Solution

The fourth proportional to 460,971.61, 691,206.82 and 207,955.76 is: 311,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,971.61 : 691,206.82 = 207,955.76 : x
  2. Step 2: Convert to fraction form
    460,971.61/691,206.82 = 207,955.76/x
  3. Step 3: Cross multiply
    460,971.61x = 691,206.82 × 207,955.76
  4. Step 4: Simplify right side
    460,971.61x = 143,740,435,594.36
  5. Step 5: Solve for x
    x = 143,740,435,594.36/460,971.61
  6. Step 6: Final answer
    x = 311,820.58

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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.