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Finding the Fourth Proportional to 1,429,663.95, 1,972,949.94 and 785,097.63

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Solution

The fourth proportional to 1,429,663.95, 1,972,949.94 and 785,097.63 is: 1,083,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,663.95 : 1,972,949.94 = 785,097.63 : x
  2. Step 2: Convert to fraction form
    1,429,663.95/1,972,949.94 = 785,097.63/x
  3. Step 3: Cross multiply
    1,429,663.95x = 1,972,949.94 × 785,097.63
  4. Step 4: Simplify right side
    1,429,663.95x = 1,548,958,322,002.64
  5. Step 5: Solve for x
    x = 1,548,958,322,002.64/1,429,663.95
  6. Step 6: Final answer
    x = 1,083,442.25

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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.