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Finding the Fourth Proportional to 489,024.80, 732,662.40 and 301,817.60

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Solution

The fourth proportional to 489,024.80, 732,662.40 and 301,817.60 is: 452,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,024.80 : 732,662.40 = 301,817.60 : x
  2. Step 2: Convert to fraction form
    489,024.80/732,662.40 = 301,817.60/x
  3. Step 3: Cross multiply
    489,024.80x = 732,662.40 × 301,817.60
  4. Step 4: Simplify right side
    489,024.80x = 221,130,407,178.24
  5. Step 5: Solve for x
    x = 221,130,407,178.24/489,024.80
  6. Step 6: Final answer
    x = 452,186.49

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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.