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Finding the Fourth Proportional to 595,018.95, 820,920.94 and 380,284.71

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Solution

The fourth proportional to 595,018.95, 820,920.94 and 380,284.71 is: 524,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,018.95 : 820,920.94 = 380,284.71 : x
  2. Step 2: Convert to fraction form
    595,018.95/820,920.94 = 380,284.71/x
  3. Step 3: Cross multiply
    595,018.95x = 820,920.94 × 380,284.71
  4. Step 4: Simplify right side
    595,018.95x = 312,183,680,650.12
  5. Step 5: Solve for x
    x = 312,183,680,650.12/595,018.95
  6. Step 6: Final answer
    x = 524,661.75

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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.