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Finding the Fourth Proportional to 464,475, 640,980.87 and 257,747.64

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Solution

The fourth proportional to 464,475, 640,980.87 and 257,747.64 is: 355,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,475 : 640,980.87 = 257,747.64 : x
  2. Step 2: Convert to fraction form
    464,475/640,980.87 = 257,747.64/x
  3. Step 3: Cross multiply
    464,475x = 640,980.87 × 257,747.64
  4. Step 4: Simplify right side
    464,475x = 165,211,306,527.65
  5. Step 5: Solve for x
    x = 165,211,306,527.65/464,475
  6. Step 6: Final answer
    x = 355,694.72

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1.5x scale

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.