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Finding the Fourth Proportional to 507,802.97, 700,768.10 and 281,448.47

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Solution

The fourth proportional to 507,802.97, 700,768.10 and 281,448.47 is: 388,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,802.97 : 700,768.10 = 281,448.47 : x
  2. Step 2: Convert to fraction form
    507,802.97/700,768.10 = 281,448.47/x
  3. Step 3: Cross multiply
    507,802.97x = 700,768.10 × 281,448.47
  4. Step 4: Simplify right side
    507,802.97x = 197,230,107,814.32
  5. Step 5: Solve for x
    x = 197,230,107,814.32/507,802.97
  6. Step 6: Final answer
    x = 388,398.89

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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.