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Finding the Fourth Proportional to 470,454.16, 649,495.80 and 309,776.08

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Solution

The fourth proportional to 470,454.16, 649,495.80 and 309,776.08 is: 427,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,454.16 : 649,495.80 = 309,776.08 : x
  2. Step 2: Convert to fraction form
    470,454.16/649,495.80 = 309,776.08/x
  3. Step 3: Cross multiply
    470,454.16x = 649,495.80 × 309,776.08
  4. Step 4: Simplify right side
    470,454.16x = 201,198,262,900.46
  5. Step 5: Solve for x
    x = 201,198,262,900.46/470,454.16
  6. Step 6: Final answer
    x = 427,668.16

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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.