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Finding the Fourth Proportional to 507,116.79, 699,830.28 and 277,674.57

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Solution

The fourth proportional to 507,116.79, 699,830.28 and 277,674.57 is: 383,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,116.79 : 699,830.28 = 277,674.57 : x
  2. Step 2: Convert to fraction form
    507,116.79/699,830.28 = 277,674.57/x
  3. Step 3: Cross multiply
    507,116.79x = 699,830.28 × 277,674.57
  4. Step 4: Simplify right side
    507,116.79x = 194,325,072,071.98
  5. Step 5: Solve for x
    x = 194,325,072,071.98/507,116.79
  6. Step 6: Final answer
    x = 383,195.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.