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Finding the Fourth Proportional to 228,852.64, 315,847.56 and 133,389.28

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Solution

The fourth proportional to 228,852.64, 315,847.56 and 133,389.28 is: 184,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,852.64 : 315,847.56 = 133,389.28 : x
  2. Step 2: Convert to fraction form
    228,852.64/315,847.56 = 133,389.28/x
  3. Step 3: Cross multiply
    228,852.64x = 315,847.56 × 133,389.28
  4. Step 4: Simplify right side
    228,852.64x = 42,130,678,618.16
  5. Step 5: Solve for x
    x = 42,130,678,618.16/228,852.64
  6. Step 6: Final answer
    x = 184,095.23

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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.