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Finding the Fourth Proportional to 384,750.86, 530,955.05 and 214,985.12

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Solution

The fourth proportional to 384,750.86, 530,955.05 and 214,985.12 is: 296,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,750.86 : 530,955.05 = 214,985.12 : x
  2. Step 2: Convert to fraction form
    384,750.86/530,955.05 = 214,985.12/x
  3. Step 3: Cross multiply
    384,750.86x = 530,955.05 × 214,985.12
  4. Step 4: Simplify right side
    384,750.86x = 114,147,431,409.16
  5. Step 5: Solve for x
    x = 114,147,431,409.16/384,750.86
  6. Step 6: Final answer
    x = 296,678.82

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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.