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Finding the Fourth Proportional to 377,145, 520,311.65 and 215,913.14

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Solution

The fourth proportional to 377,145, 520,311.65 and 215,913.14 is: 297,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,145 : 520,311.65 = 215,913.14 : x
  2. Step 2: Convert to fraction form
    377,145/520,311.65 = 215,913.14/x
  3. Step 3: Cross multiply
    377,145x = 520,311.65 × 215,913.14
  4. Step 4: Simplify right side
    377,145x = 112,342,122,130.08
  5. Step 5: Solve for x
    x = 112,342,122,130.08/377,145
  6. Step 6: Final answer
    x = 297,875.15

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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.