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Finding the Fourth Proportional to 282,354.46, 389,649.84 and 155,038.24

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Solution

The fourth proportional to 282,354.46, 389,649.84 and 155,038.24 is: 213,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,354.46 : 389,649.84 = 155,038.24 : x
  2. Step 2: Convert to fraction form
    282,354.46/389,649.84 = 155,038.24/x
  3. Step 3: Cross multiply
    282,354.46x = 389,649.84 × 155,038.24
  4. Step 4: Simplify right side
    282,354.46x = 60,410,625,409.88
  5. Step 5: Solve for x
    x = 60,410,625,409.88/282,354.46
  6. Step 6: Final answer
    x = 213,953.15

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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.