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Finding the Fourth Proportional to 368,894.53, 509,075.51 and 213,875.95

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Solution

The fourth proportional to 368,894.53, 509,075.51 and 213,875.95 is: 295,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,894.53 : 509,075.51 = 213,875.95 : x
  2. Step 2: Convert to fraction form
    368,894.53/509,075.51 = 213,875.95/x
  3. Step 3: Cross multiply
    368,894.53x = 509,075.51 × 213,875.95
  4. Step 4: Simplify right side
    368,894.53x = 108,879,005,980.92
  5. Step 5: Solve for x
    x = 108,879,005,980.92/368,894.53
  6. Step 6: Final answer
    x = 295,149.42

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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.