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Finding the Fourth Proportional to 556,935.82, 768,572.90 and 302,287.01

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Solution

The fourth proportional to 556,935.82, 768,572.90 and 302,287.01 is: 417,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,935.82 : 768,572.90 = 302,287.01 : x
  2. Step 2: Convert to fraction form
    556,935.82/768,572.90 = 302,287.01/x
  3. Step 3: Cross multiply
    556,935.82x = 768,572.90 × 302,287.01
  4. Step 4: Simplify right side
    556,935.82x = 232,329,601,387.67
  5. Step 5: Solve for x
    x = 232,329,601,387.67/556,935.82
  6. Step 6: Final answer
    x = 417,156.87

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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.