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Finding the Fourth Proportional to 398,643.94, 597,968.07 and 103,155.94

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Solution

The fourth proportional to 398,643.94, 597,968.07 and 103,155.94 is: 154,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,643.94 : 597,968.07 = 103,155.94 : x
  2. Step 2: Convert to fraction form
    398,643.94/597,968.07 = 103,155.94/x
  3. Step 3: Cross multiply
    398,643.94x = 597,968.07 × 103,155.94
  4. Step 4: Simplify right side
    398,643.94x = 61,683,956,855.92
  5. Step 5: Solve for x
    x = 61,683,956,855.92/398,643.94
  6. Step 6: Final answer
    x = 154,734.47

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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.