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Finding the Fourth Proportional to 369,381.17, 509,724.07 and 214,320.47

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Solution

The fourth proportional to 369,381.17, 509,724.07 and 214,320.47 is: 295,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,381.17 : 509,724.07 = 214,320.47 : x
  2. Step 2: Convert to fraction form
    369,381.17/509,724.07 = 214,320.47/x
  3. Step 3: Cross multiply
    369,381.17x = 509,724.07 × 214,320.47
  4. Step 4: Simplify right side
    369,381.17x = 109,244,302,252.71
  5. Step 5: Solve for x
    x = 109,244,302,252.71/369,381.17
  6. Step 6: Final answer
    x = 295,749.52

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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.