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Finding the Fourth Proportional to 286,393.92, 429,557.64 and 76,048.32

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Solution

The fourth proportional to 286,393.92, 429,557.64 and 76,048.32 is: 114,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,393.92 : 429,557.64 = 76,048.32 : x
  2. Step 2: Convert to fraction form
    286,393.92/429,557.64 = 76,048.32/x
  3. Step 3: Cross multiply
    286,393.92x = 429,557.64 × 76,048.32
  4. Step 4: Simplify right side
    286,393.92x = 32,667,136,865.16
  5. Step 5: Solve for x
    x = 32,667,136,865.16/286,393.92
  6. Step 6: Final answer
    x = 114,063.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.