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Finding the Fourth Proportional to 282,695.00, 390,114.71 and 155,367.86

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Solution

The fourth proportional to 282,695.00, 390,114.71 and 155,367.86 is: 214,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,695.00 : 390,114.71 = 155,367.86 : x
  2. Step 2: Convert to fraction form
    282,695.00/390,114.71 = 155,367.86/x
  3. Step 3: Cross multiply
    282,695.00x = 390,114.71 × 155,367.86
  4. Step 4: Simplify right side
    282,695.00x = 60,611,284,919.81
  5. Step 5: Solve for x
    x = 60,611,284,919.81/282,695.00
  6. Step 6: Final answer
    x = 214,405.23

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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.