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Finding the Fourth Proportional to 470,585.52, 649,406.70 and 255,725.64

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Solution

The fourth proportional to 470,585.52, 649,406.70 and 255,725.64 is: 352,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,585.52 : 649,406.70 = 255,725.64 : x
  2. Step 2: Convert to fraction form
    470,585.52/649,406.70 = 255,725.64/x
  3. Step 3: Cross multiply
    470,585.52x = 649,406.70 × 255,725.64
  4. Step 4: Simplify right side
    470,585.52x = 166,069,943,977.79
  5. Step 5: Solve for x
    x = 166,069,943,977.79/470,585.52
  6. Step 6: Final answer
    x = 352,900.67

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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.