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Finding the Fourth Proportional to 556,830, 768,425.94 and 302,181.24

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Solution

The fourth proportional to 556,830, 768,425.94 and 302,181.24 is: 417,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,830 : 768,425.94 = 302,181.24 : x
  2. Step 2: Convert to fraction form
    556,830/768,425.94 = 302,181.24/x
  3. Step 3: Cross multiply
    556,830x = 768,425.94 × 302,181.24
  4. Step 4: Simplify right side
    556,830x = 232,203,903,397.37
  5. Step 5: Solve for x
    x = 232,203,903,397.37/556,830
  6. Step 6: Final answer
    x = 417,010.40

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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.