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Finding the Fourth Proportional to 387,966.84, 535,399.14 and 218,200.98

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Solution

The fourth proportional to 387,966.84, 535,399.14 and 218,200.98 is: 301,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,966.84 : 535,399.14 = 218,200.98 : x
  2. Step 2: Convert to fraction form
    387,966.84/535,399.14 = 218,200.98/x
  3. Step 3: Cross multiply
    387,966.84x = 535,399.14 × 218,200.98
  4. Step 4: Simplify right side
    387,966.84x = 116,824,617,039.16
  5. Step 5: Solve for x
    x = 116,824,617,039.16/387,966.84
  6. Step 6: Final answer
    x = 301,120.11

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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.