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Finding the Fourth Proportional to 492,075, 679,012.47 and 288,115.38

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Solution

The fourth proportional to 492,075, 679,012.47 and 288,115.38 is: 397,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,075 : 679,012.47 = 288,115.38 : x
  2. Step 2: Convert to fraction form
    492,075/679,012.47 = 288,115.38/x
  3. Step 3: Cross multiply
    492,075x = 679,012.47 × 288,115.38
  4. Step 4: Simplify right side
    492,075x = 195,633,935,818.79
  5. Step 5: Solve for x
    x = 195,633,935,818.79/492,075
  6. Step 6: Final answer
    x = 397,569.35

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1.5x scale

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.