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Finding the Fourth Proportional to 511,369.61, 705,533.67 and 296,466.79

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Solution

The fourth proportional to 511,369.61, 705,533.67 and 296,466.79 is: 409,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,369.61 : 705,533.67 = 296,466.79 : x
  2. Step 2: Convert to fraction form
    511,369.61/705,533.67 = 296,466.79/x
  3. Step 3: Cross multiply
    511,369.61x = 705,533.67 × 296,466.79
  4. Step 4: Simplify right side
    511,369.61x = 209,167,302,381.82
  5. Step 5: Solve for x
    x = 209,167,302,381.82/511,369.61
  6. Step 6: Final answer
    x = 409,033.50

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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.