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Finding the Fourth Proportional to 384,108.48, 530,020.80 and 214,349.76

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Solution

The fourth proportional to 384,108.48, 530,020.80 and 214,349.76 is: 295,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,108.48 : 530,020.80 = 214,349.76 : x
  2. Step 2: Convert to fraction form
    384,108.48/530,020.80 = 214,349.76/x
  3. Step 3: Cross multiply
    384,108.48x = 530,020.80 × 214,349.76
  4. Step 4: Simplify right side
    384,108.48x = 113,609,831,275.01
  5. Step 5: Solve for x
    x = 113,609,831,275.01/384,108.48
  6. Step 6: Final answer
    x = 295,775.38

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1.5x scale

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.