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Finding the Fourth Proportional to 282,464.76, 389,810.70 and 155,152.20

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Solution

The fourth proportional to 282,464.76, 389,810.70 and 155,152.20 is: 214,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464.76 : 389,810.70 = 155,152.20 : x
  2. Step 2: Convert to fraction form
    282,464.76/389,810.70 = 155,152.20/x
  3. Step 3: Cross multiply
    282,464.76x = 389,810.70 × 155,152.20
  4. Step 4: Simplify right side
    282,464.76x = 60,479,987,688.54
  5. Step 5: Solve for x
    x = 60,479,987,688.54/282,464.76
  6. Step 6: Final answer
    x = 214,115.16

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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.