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Finding the Fourth Proportional to 761,473.60, 1,141,202.40 and 405,721.60

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Solution

The fourth proportional to 761,473.60, 1,141,202.40 and 405,721.60 is: 608,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,473.60 : 1,141,202.40 = 405,721.60 : x
  2. Step 2: Convert to fraction form
    761,473.60/1,141,202.40 = 405,721.60/x
  3. Step 3: Cross multiply
    761,473.60x = 1,141,202.40 × 405,721.60
  4. Step 4: Simplify right side
    761,473.60x = 463,010,463,651.84
  5. Step 5: Solve for x
    x = 463,010,463,651.84/761,473.60
  6. Step 6: Final answer
    x = 608,045.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.