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Finding the Fourth Proportional to 377,875.64, 521,424.06 and 214,521.32

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Solution

The fourth proportional to 377,875.64, 521,424.06 and 214,521.32 is: 296,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,875.64 : 521,424.06 = 214,521.32 : x
  2. Step 2: Convert to fraction form
    377,875.64/521,424.06 = 214,521.32/x
  3. Step 3: Cross multiply
    377,875.64x = 521,424.06 × 214,521.32
  4. Step 4: Simplify right side
    377,875.64x = 111,856,577,630.96
  5. Step 5: Solve for x
    x = 111,856,577,630.96/377,875.64
  6. Step 6: Final answer
    x = 296,014.26

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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.