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Finding the Fourth Proportional to 470,048, 648,666.24 and 258,080

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Solution

The fourth proportional to 470,048, 648,666.24 and 258,080 is: 356,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,048 : 648,666.24 = 258,080 : x
  2. Step 2: Convert to fraction form
    470,048/648,666.24 = 258,080/x
  3. Step 3: Cross multiply
    470,048x = 648,666.24 × 258,080
  4. Step 4: Simplify right side
    470,048x = 167,407,783,219.20
  5. Step 5: Solve for x
    x = 167,407,783,219.20/470,048
  6. Step 6: Final answer
    x = 356,150.40

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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.