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Finding the Fourth Proportional to 394,752,013.80, 592,128,020.70 and 256,202,356.20

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Solution

The fourth proportional to 394,752,013.80, 592,128,020.70 and 256,202,356.20 is: 384,303,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,752,013.80 : 592,128,020.70 = 256,202,356.20 : x
  2. Step 2: Convert to fraction form
    394,752,013.80/592,128,020.70 = 256,202,356.20/x
  3. Step 3: Cross multiply
    394,752,013.80x = 592,128,020.70 × 256,202,356.20
  4. Step 4: Simplify right side
    394,752,013.80x = 151,704,594,075,382,368
  5. Step 5: Solve for x
    x = 151,704,594,075,382,368/394,752,013.80
  6. Step 6: Final answer
    x = 384,303,534.30

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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.