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Finding the Fourth Proportional to 643,155.06, 964,421 and 193,792.16

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Solution

The fourth proportional to 643,155.06, 964,421 and 193,792.16 is: 290,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,155.06 : 964,421 = 193,792.16 : x
  2. Step 2: Convert to fraction form
    643,155.06/964,421 = 193,792.16/x
  3. Step 3: Cross multiply
    643,155.06x = 964,421 × 193,792.16
  4. Step 4: Simplify right side
    643,155.06x = 186,897,228,739.36
  5. Step 5: Solve for x
    x = 186,897,228,739.36/643,155.06
  6. Step 6: Final answer
    x = 290,594.35

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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.