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Finding the Fourth Proportional to 377,138, 520,465.02 and 207,368.48

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Solution

The fourth proportional to 377,138, 520,465.02 and 207,368.48 is: 286,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,138 : 520,465.02 = 207,368.48 : x
  2. Step 2: Convert to fraction form
    377,138/520,465.02 = 207,368.48/x
  3. Step 3: Cross multiply
    377,138x = 520,465.02 × 207,368.48
  4. Step 4: Simplify right side
    377,138x = 107,928,040,090.57
  5. Step 5: Solve for x
    x = 107,928,040,090.57/377,138
  6. Step 6: Final answer
    x = 286,176.52

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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.