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Finding the Fourth Proportional to 280,289.82, 386,812.53 and 157,824.32

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Solution

The fourth proportional to 280,289.82, 386,812.53 and 157,824.32 is: 217,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,289.82 : 386,812.53 = 157,824.32 : x
  2. Step 2: Convert to fraction form
    280,289.82/386,812.53 = 157,824.32/x
  3. Step 3: Cross multiply
    280,289.82x = 386,812.53 × 157,824.32
  4. Step 4: Simplify right side
    280,289.82x = 61,048,423,458.74
  5. Step 5: Solve for x
    x = 61,048,423,458.74/280,289.82
  6. Step 6: Final answer
    x = 217,804.64

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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.