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Finding the Fourth Proportional to 470,300.80, 649,055.16 and 266,388.04

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Solution

The fourth proportional to 470,300.80, 649,055.16 and 266,388.04 is: 367,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,300.80 : 649,055.16 = 266,388.04 : x
  2. Step 2: Convert to fraction form
    470,300.80/649,055.16 = 266,388.04/x
  3. Step 3: Cross multiply
    470,300.80x = 649,055.16 × 266,388.04
  4. Step 4: Simplify right side
    470,300.80x = 172,900,531,924.29
  5. Step 5: Solve for x
    x = 172,900,531,924.29/470,300.80
  6. Step 6: Final answer
    x = 367,638.18

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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.