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Finding the Fourth Proportional to 556,905.16, 768,529.68 and 302,256.46

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Solution

The fourth proportional to 556,905.16, 768,529.68 and 302,256.46 is: 417,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,905.16 : 768,529.68 = 302,256.46 : x
  2. Step 2: Convert to fraction form
    556,905.16/768,529.68 = 302,256.46/x
  3. Step 3: Cross multiply
    556,905.16x = 768,529.68 × 302,256.46
  4. Step 4: Simplify right side
    556,905.16x = 232,293,060,481.73
  5. Step 5: Solve for x
    x = 232,293,060,481.73/556,905.16
  6. Step 6: Final answer
    x = 417,114.22

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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.