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Finding the Fourth Proportional to 563,403.65, 777,497.71 and 305,280.41

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Solution

The fourth proportional to 563,403.65, 777,497.71 and 305,280.41 is: 421,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,403.65 : 777,497.71 = 305,280.41 : x
  2. Step 2: Convert to fraction form
    563,403.65/777,497.71 = 305,280.41/x
  3. Step 3: Cross multiply
    563,403.65x = 777,497.71 × 305,280.41
  4. Step 4: Simplify right side
    563,403.65x = 237,354,819,682.86
  5. Step 5: Solve for x
    x = 237,354,819,682.86/563,403.65
  6. Step 6: Final answer
    x = 421,287.33

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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.