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Finding the Fourth Proportional to 388,835.64, 536,565.87 and 214,398.09

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Solution

The fourth proportional to 388,835.64, 536,565.87 and 214,398.09 is: 295,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,835.64 : 536,565.87 = 214,398.09 : x
  2. Step 2: Convert to fraction form
    388,835.64/536,565.87 = 214,398.09/x
  3. Step 3: Cross multiply
    388,835.64x = 536,565.87 × 214,398.09
  4. Step 4: Simplify right side
    388,835.64x = 115,038,697,687.19
  5. Step 5: Solve for x
    x = 115,038,697,687.19/388,835.64
  6. Step 6: Final answer
    x = 295,854.30

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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.