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Finding the Fourth Proportional to 282,477.11, 389,818.64 and 155,160.90

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Solution

The fourth proportional to 282,477.11, 389,818.64 and 155,160.90 is: 214,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,477.11 : 389,818.64 = 155,160.90 : x
  2. Step 2: Convert to fraction form
    282,477.11/389,818.64 = 155,160.90/x
  3. Step 3: Cross multiply
    282,477.11x = 389,818.64 × 155,160.90
  4. Step 4: Simplify right side
    282,477.11x = 60,484,611,019.18
  5. Step 5: Solve for x
    x = 60,484,611,019.18/282,477.11
  6. Step 6: Final answer
    x = 214,122.17

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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.