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Finding the Fourth Proportional to 346,458, 478,112.07 and 195,564.72

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Solution

The fourth proportional to 346,458, 478,112.07 and 195,564.72 is: 269,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,458 : 478,112.07 = 195,564.72 : x
  2. Step 2: Convert to fraction form
    346,458/478,112.07 = 195,564.72/x
  3. Step 3: Cross multiply
    346,458x = 478,112.07 × 195,564.72
  4. Step 4: Simplify right side
    346,458x = 93,501,853,098.17
  5. Step 5: Solve for x
    x = 93,501,853,098.17/346,458
  6. Step 6: Final answer
    x = 269,879.33

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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.