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Finding the Fourth Proportional to 315,821.78, 473,807.03 and 102,589.03

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Solution

The fourth proportional to 315,821.78, 473,807.03 and 102,589.03 is: 153,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,821.78 : 473,807.03 = 102,589.03 : x
  2. Step 2: Convert to fraction form
    315,821.78/473,807.03 = 102,589.03/x
  3. Step 3: Cross multiply
    315,821.78x = 473,807.03 × 102,589.03
  4. Step 4: Simplify right side
    315,821.78x = 48,607,403,614.88
  5. Step 5: Solve for x
    x = 48,607,403,614.88/315,821.78
  6. Step 6: Final answer
    x = 153,907.70

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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.