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Finding the Fourth Proportional to 556,838, 768,437 and 302,189.24

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Solution

The fourth proportional to 556,838, 768,437 and 302,189.24 is: 417,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,838 : 768,437 = 302,189.24 : x
  2. Step 2: Convert to fraction form
    556,838/768,437 = 302,189.24/x
  3. Step 3: Cross multiply
    556,838x = 768,437 × 302,189.24
  4. Step 4: Simplify right side
    556,838x = 232,213,393,017.88
  5. Step 5: Solve for x
    x = 232,213,393,017.88/556,838
  6. Step 6: Final answer
    x = 417,021.46

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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.