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Finding the Fourth Proportional to 369,379.17, 509,721.32 and 214,318.47

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Solution

The fourth proportional to 369,379.17, 509,721.32 and 214,318.47 is: 295,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,379.17 : 509,721.32 = 214,318.47 : x
  2. Step 2: Convert to fraction form
    369,379.17/509,721.32 = 214,318.47/x
  3. Step 3: Cross multiply
    369,379.17x = 509,721.32 × 214,318.47
  4. Step 4: Simplify right side
    369,379.17x = 109,242,692,357.19
  5. Step 5: Solve for x
    x = 109,242,692,357.19/369,379.17
  6. Step 6: Final answer
    x = 295,746.76

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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.