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Finding the Fourth Proportional to 563,139.42, 777,188.13 and 321,458.32

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Solution

The fourth proportional to 563,139.42, 777,188.13 and 321,458.32 is: 443,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,139.42 : 777,188.13 = 321,458.32 : x
  2. Step 2: Convert to fraction form
    563,139.42/777,188.13 = 321,458.32/x
  3. Step 3: Cross multiply
    563,139.42x = 777,188.13 × 321,458.32
  4. Step 4: Simplify right side
    563,139.42x = 249,833,590,593.74
  5. Step 5: Solve for x
    x = 249,833,590,593.74/563,139.42
  6. Step 6: Final answer
    x = 443,644.29

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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.