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Finding the Fourth Proportional to 470,242.83, 649,133.55 and 317,487.81

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Solution

The fourth proportional to 470,242.83, 649,133.55 and 317,487.81 is: 438,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,242.83 : 649,133.55 = 317,487.81 : x
  2. Step 2: Convert to fraction form
    470,242.83/649,133.55 = 317,487.81/x
  3. Step 3: Cross multiply
    470,242.83x = 649,133.55 × 317,487.81
  4. Step 4: Simplify right side
    470,242.83x = 206,091,989,187.03
  5. Step 5: Solve for x
    x = 206,091,989,187.03/470,242.83
  6. Step 6: Final answer
    x = 438,267.16

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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.