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Finding the Fourth Proportional to 465,411.92, 642,328.80 and 284,085.92

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Solution

The fourth proportional to 465,411.92, 642,328.80 and 284,085.92 is: 392,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,411.92 : 642,328.80 = 284,085.92 : x
  2. Step 2: Convert to fraction form
    465,411.92/642,328.80 = 284,085.92/x
  3. Step 3: Cross multiply
    465,411.92x = 642,328.80 × 284,085.92
  4. Step 4: Simplify right side
    465,411.92x = 182,476,568,090.50
  5. Step 5: Solve for x
    x = 182,476,568,090.50/465,411.92
  6. Step 6: Final answer
    x = 392,075.41

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1.5x scale

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.