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Finding the Fourth Proportional to 616,284.86, 850,471.31 and 340,640.87

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Solution

The fourth proportional to 616,284.86, 850,471.31 and 340,640.87 is: 470,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,284.86 : 850,471.31 = 340,640.87 : x
  2. Step 2: Convert to fraction form
    616,284.86/850,471.31 = 340,640.87/x
  3. Step 3: Cross multiply
    616,284.86x = 850,471.31 × 340,640.87
  4. Step 4: Simplify right side
    616,284.86x = 289,705,283,547.69
  5. Step 5: Solve for x
    x = 289,705,283,547.69/616,284.86
  6. Step 6: Final answer
    x = 470,083.41

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1.5x scale

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.