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Finding the Fourth Proportional to 377,792, 521,352.96 and 208,025.72

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Solution

The fourth proportional to 377,792, 521,352.96 and 208,025.72 is: 287,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,792 : 521,352.96 = 208,025.72 : x
  2. Step 2: Convert to fraction form
    377,792/521,352.96 = 208,025.72/x
  3. Step 3: Cross multiply
    377,792x = 521,352.96 × 208,025.72
  4. Step 4: Simplify right side
    377,792x = 108,454,824,878.13
  5. Step 5: Solve for x
    x = 108,454,824,878.13/377,792
  6. Step 6: Final answer
    x = 287,075.49

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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.