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Finding the Fourth Proportional to 387,639.40, 581,478.30 and 201,015.40

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Solution

The fourth proportional to 387,639.40, 581,478.30 and 201,015.40 is: 301,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,639.40 : 581,478.30 = 201,015.40 : x
  2. Step 2: Convert to fraction form
    387,639.40/581,478.30 = 201,015.40/x
  3. Step 3: Cross multiply
    387,639.40x = 581,478.30 × 201,015.40
  4. Step 4: Simplify right side
    387,639.40x = 116,886,093,065.82
  5. Step 5: Solve for x
    x = 116,886,093,065.82/387,639.40
  6. Step 6: Final answer
    x = 301,533.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.