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Finding the Fourth Proportional to 398,643.19, 597,966.94 and 103,155.19

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Solution

The fourth proportional to 398,643.19, 597,966.94 and 103,155.19 is: 154,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,643.19 : 597,966.94 = 103,155.19 : x
  2. Step 2: Convert to fraction form
    398,643.19/597,966.94 = 103,155.19/x
  3. Step 3: Cross multiply
    398,643.19x = 597,966.94 × 103,155.19
  4. Step 4: Simplify right side
    398,643.19x = 61,683,391,943.45
  5. Step 5: Solve for x
    x = 61,683,391,943.45/398,643.19
  6. Step 6: Final answer
    x = 154,733.34

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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.