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Finding the Fourth Proportional to 377,065.66, 520,354.14 and 207,301

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Solution

The fourth proportional to 377,065.66, 520,354.14 and 207,301 is: 286,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,065.66 : 520,354.14 = 207,301 : x
  2. Step 2: Convert to fraction form
    377,065.66/520,354.14 = 207,301/x
  3. Step 3: Cross multiply
    377,065.66x = 520,354.14 × 207,301
  4. Step 4: Simplify right side
    377,065.66x = 107,869,933,576.14
  5. Step 5: Solve for x
    x = 107,869,933,576.14/377,065.66
  6. Step 6: Final answer
    x = 286,077.32

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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.