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Finding the Fourth Proportional to 384,253.68, 530,253 and 214,483.92

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Solution

The fourth proportional to 384,253.68, 530,253 and 214,483.92 is: 295,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,253.68 : 530,253 = 214,483.92 : x
  2. Step 2: Convert to fraction form
    384,253.68/530,253 = 214,483.92/x
  3. Step 3: Cross multiply
    384,253.68x = 530,253 × 214,483.92
  4. Step 4: Simplify right side
    384,253.68x = 113,730,742,031.76
  5. Step 5: Solve for x
    x = 113,730,742,031.76/384,253.68
  6. Step 6: Final answer
    x = 295,978.28

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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.