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Finding the Fourth Proportional to 557,355.36, 769,145.76 and 302,705.76

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Solution

The fourth proportional to 557,355.36, 769,145.76 and 302,705.76 is: 417,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,355.36 : 769,145.76 = 302,705.76 : x
  2. Step 2: Convert to fraction form
    557,355.36/769,145.76 = 302,705.76/x
  3. Step 3: Cross multiply
    557,355.36x = 769,145.76 × 302,705.76
  4. Step 4: Simplify right side
    557,355.36x = 232,824,851,831.58
  5. Step 5: Solve for x
    x = 232,824,851,831.58/557,355.36
  6. Step 6: Final answer
    x = 417,731.43

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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.