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Finding the Fourth Proportional to 388,974, 536,784.64 and 210,126

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Solution

The fourth proportional to 388,974, 536,784.64 and 210,126 is: 289,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,974 : 536,784.64 = 210,126 : x
  2. Step 2: Convert to fraction form
    388,974/536,784.64 = 210,126/x
  3. Step 3: Cross multiply
    388,974x = 536,784.64 × 210,126
  4. Step 4: Simplify right side
    388,974x = 112,792,409,264.64
  5. Step 5: Solve for x
    x = 112,792,409,264.64/388,974
  6. Step 6: Final answer
    x = 289,974.16

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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.