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Finding the Fourth Proportional to 464,369.72, 640,785.40 and 260,429

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Solution

The fourth proportional to 464,369.72, 640,785.40 and 260,429 is: 359,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,369.72 : 640,785.40 = 260,429 : x
  2. Step 2: Convert to fraction form
    464,369.72/640,785.40 = 260,429/x
  3. Step 3: Cross multiply
    464,369.72x = 640,785.40 × 260,429
  4. Step 4: Simplify right side
    464,369.72x = 166,879,100,936.60
  5. Step 5: Solve for x
    x = 166,879,100,936.60/464,369.72
  6. Step 6: Final answer
    x = 359,366.89

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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.