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Finding the Fourth Proportional to 387,802.88, 535,164.72 and 218,037.68

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Solution

The fourth proportional to 387,802.88, 535,164.72 and 218,037.68 is: 300,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,802.88 : 535,164.72 = 218,037.68 : x
  2. Step 2: Convert to fraction form
    387,802.88/535,164.72 = 218,037.68/x
  3. Step 3: Cross multiply
    387,802.88x = 535,164.72 × 218,037.68
  4. Step 4: Simplify right side
    387,802.88x = 116,686,073,966.65
  5. Step 5: Solve for x
    x = 116,686,073,966.65/387,802.88
  6. Step 6: Final answer
    x = 300,890.17

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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.