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Finding the Fourth Proportional to 346,578.57, 478,078.87 and 208,661.61

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Solution

The fourth proportional to 346,578.57, 478,078.87 and 208,661.61 is: 287,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578.57 : 478,078.87 = 208,661.61 : x
  2. Step 2: Convert to fraction form
    346,578.57/478,078.87 = 208,661.61/x
  3. Step 3: Cross multiply
    346,578.57x = 478,078.87 × 208,661.61
  4. Step 4: Simplify right side
    346,578.57x = 99,756,703,287.48
  5. Step 5: Solve for x
    x = 99,756,703,287.48/346,578.57
  6. Step 6: Final answer
    x = 287,832.87

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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.