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Finding the Fourth Proportional to 282,461.46, 389,793.21 and 155,128.86

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Solution

The fourth proportional to 282,461.46, 389,793.21 and 155,128.86 is: 214,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,461.46 : 389,793.21 = 155,128.86 : x
  2. Step 2: Convert to fraction form
    282,461.46/389,793.21 = 155,128.86/x
  3. Step 3: Cross multiply
    282,461.46x = 389,793.21 × 155,128.86
  4. Step 4: Simplify right side
    282,461.46x = 60,468,176,303.04
  5. Step 5: Solve for x
    x = 60,468,176,303.04/282,461.46
  6. Step 6: Final answer
    x = 214,075.85

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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.