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Finding the Fourth Proportional to 470,652, 649,500.72 and 258,684

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Solution

The fourth proportional to 470,652, 649,500.72 and 258,684 is: 356,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,652 : 649,500.72 = 258,684 : x
  2. Step 2: Convert to fraction form
    470,652/649,500.72 = 258,684/x
  3. Step 3: Cross multiply
    470,652x = 649,500.72 × 258,684
  4. Step 4: Simplify right side
    470,652x = 168,015,444,252.48
  5. Step 5: Solve for x
    x = 168,015,444,252.48/470,652
  6. Step 6: Final answer
    x = 356,984.45

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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.