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Finding the Fourth Proportional to 259,056.60, 387,807.30 and 153,821.40

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Solution

The fourth proportional to 259,056.60, 387,807.30 and 153,821.40 is: 230,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,056.60 : 387,807.30 = 153,821.40 : x
  2. Step 2: Convert to fraction form
    259,056.60/387,807.30 = 153,821.40/x
  3. Step 3: Cross multiply
    259,056.60x = 387,807.30 × 153,821.40
  4. Step 4: Simplify right side
    259,056.60x = 59,653,061,816.22
  5. Step 5: Solve for x
    x = 59,653,061,816.22/259,056.60
  6. Step 6: Final answer
    x = 230,270.38

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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.