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Finding the Fourth Proportional to 470,689.80, 649,558.50 and 255,829.80

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Solution

The fourth proportional to 470,689.80, 649,558.50 and 255,829.80 is: 353,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,689.80 : 649,558.50 = 255,829.80 : x
  2. Step 2: Convert to fraction form
    470,689.80/649,558.50 = 255,829.80/x
  3. Step 3: Cross multiply
    470,689.80x = 649,558.50 × 255,829.80
  4. Step 4: Simplify right side
    470,689.80x = 166,176,421,143.30
  5. Step 5: Solve for x
    x = 166,176,421,143.30/470,689.80
  6. Step 6: Final answer
    x = 353,048.70

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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.