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Finding the Fourth Proportional to 388,642.23, 536,319.08 and 211,834.16

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Solution

The fourth proportional to 388,642.23, 536,319.08 and 211,834.16 is: 292,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,642.23 : 536,319.08 = 211,834.16 : x
  2. Step 2: Convert to fraction form
    388,642.23/536,319.08 = 211,834.16/x
  3. Step 3: Cross multiply
    388,642.23x = 536,319.08 × 211,834.16
  4. Step 4: Simplify right side
    388,642.23x = 113,610,701,803.77
  5. Step 5: Solve for x
    x = 113,610,701,803.77/388,642.23
  6. Step 6: Final answer
    x = 292,327.22

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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.