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Finding the Fourth Proportional to 285,807.48, 428,337.48 and 117,130.32

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Solution

The fourth proportional to 285,807.48, 428,337.48 and 117,130.32 is: 175,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,807.48 : 428,337.48 = 117,130.32 : x
  2. Step 2: Convert to fraction form
    285,807.48/428,337.48 = 117,130.32/x
  3. Step 3: Cross multiply
    285,807.48x = 428,337.48 × 117,130.32
  4. Step 4: Simplify right side
    285,807.48x = 50,171,306,100.39
  5. Step 5: Solve for x
    x = 50,171,306,100.39/285,807.48
  6. Step 6: Final answer
    x = 175,542.31

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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.