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Finding the Fourth Proportional to 563,138.42, 777,186.75 and 321,457.32

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Solution

The fourth proportional to 563,138.42, 777,186.75 and 321,457.32 is: 443,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,138.42 : 777,186.75 = 321,457.32 : x
  2. Step 2: Convert to fraction form
    563,138.42/777,186.75 = 321,457.32/x
  3. Step 3: Cross multiply
    563,138.42x = 777,186.75 × 321,457.32
  4. Step 4: Simplify right side
    563,138.42x = 249,832,369,794.51
  5. Step 5: Solve for x
    x = 249,832,369,794.51/563,138.42
  6. Step 6: Final answer
    x = 443,642.92

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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.