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Finding the Fourth Proportional to 523,488.76, 785,390.78 and 186,485.42

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Solution

The fourth proportional to 523,488.76, 785,390.78 and 186,485.42 is: 279,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,488.76 : 785,390.78 = 186,485.42 : x
  2. Step 2: Convert to fraction form
    523,488.76/785,390.78 = 186,485.42/x
  3. Step 3: Cross multiply
    523,488.76x = 785,390.78 × 186,485.42
  4. Step 4: Simplify right side
    523,488.76x = 146,463,929,472.43
  5. Step 5: Solve for x
    x = 146,463,929,472.43/523,488.76
  6. Step 6: Final answer
    x = 279,784.29

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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.