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Finding the Fourth Proportional to 458,048.80, 687,073.20 and 205,328.80

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Solution

The fourth proportional to 458,048.80, 687,073.20 and 205,328.80 is: 307,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,048.80 : 687,073.20 = 205,328.80 : x
  2. Step 2: Convert to fraction form
    458,048.80/687,073.20 = 205,328.80/x
  3. Step 3: Cross multiply
    458,048.80x = 687,073.20 × 205,328.80
  4. Step 4: Simplify right side
    458,048.80x = 141,075,915,668.16
  5. Step 5: Solve for x
    x = 141,075,915,668.16/458,048.80
  6. Step 6: Final answer
    x = 307,993.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.