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Finding the Fourth Proportional to 377,065.12, 520,345.20 and 207,297.76

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Solution

The fourth proportional to 377,065.12, 520,345.20 and 207,297.76 is: 286,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,065.12 : 520,345.20 = 207,297.76 : x
  2. Step 2: Convert to fraction form
    377,065.12/520,345.20 = 207,297.76/x
  3. Step 3: Cross multiply
    377,065.12x = 520,345.20 × 207,297.76
  4. Step 4: Simplify right side
    377,065.12x = 107,866,394,386.75
  5. Step 5: Solve for x
    x = 107,866,394,386.75/377,065.12
  6. Step 6: Final answer
    x = 286,068.34

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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.