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Finding the Fourth Proportional to 563,090.69, 777,064.47 and 304,967.49

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Solution

The fourth proportional to 563,090.69, 777,064.47 and 304,967.49 is: 420,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,090.69 : 777,064.47 = 304,967.49 : x
  2. Step 2: Convert to fraction form
    563,090.69/777,064.47 = 304,967.49/x
  3. Step 3: Cross multiply
    563,090.69x = 777,064.47 × 304,967.49
  4. Step 4: Simplify right side
    563,090.69x = 236,979,400,984.08
  5. Step 5: Solve for x
    x = 236,979,400,984.08/563,090.69
  6. Step 6: Final answer
    x = 420,854.77

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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.