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Finding the Fourth Proportional to 384,840, 531,095.60 and 215,074.13

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Solution

The fourth proportional to 384,840, 531,095.60 and 215,074.13 is: 296,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,840 : 531,095.60 = 215,074.13 : x
  2. Step 2: Convert to fraction form
    384,840/531,095.60 = 215,074.13/x
  3. Step 3: Cross multiply
    384,840x = 531,095.60 × 215,074.13
  4. Step 4: Simplify right side
    384,840x = 114,224,921,999.04
  5. Step 5: Solve for x
    x = 114,224,921,999.04/384,840
  6. Step 6: Final answer
    x = 296,811.46

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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.