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Finding the Fourth Proportional to 651,930.20, 978,332.70 and 385,407.80

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Solution

The fourth proportional to 651,930.20, 978,332.70 and 385,407.80 is: 578,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,930.20 : 978,332.70 = 385,407.80 : x
  2. Step 2: Convert to fraction form
    651,930.20/978,332.70 = 385,407.80/x
  3. Step 3: Cross multiply
    651,930.20x = 978,332.70 × 385,407.80
  4. Step 4: Simplify right side
    651,930.20x = 377,057,053,575.06
  5. Step 5: Solve for x
    x = 377,057,053,575.06/651,930.20
  6. Step 6: Final answer
    x = 578,370.28

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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.