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Finding the Fourth Proportional to 1,406,512.54, 1,940,985.56 and 761,935.40

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Solution

The fourth proportional to 1,406,512.54, 1,940,985.56 and 761,935.40 is: 1,051,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,512.54 : 1,940,985.56 = 761,935.40 : x
  2. Step 2: Convert to fraction form
    1,406,512.54/1,940,985.56 = 761,935.40/x
  3. Step 3: Cross multiply
    1,406,512.54x = 1,940,985.56 × 761,935.40
  4. Step 4: Simplify right side
    1,406,512.54x = 1,478,905,605,243.15
  5. Step 5: Solve for x
    x = 1,478,905,605,243.15/1,406,512.54
  6. Step 6: Final answer
    x = 1,051,469.90

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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.