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Finding the Fourth Proportional to 522,501.21, 783,356.94 and 269,671.86

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Solution

The fourth proportional to 522,501.21, 783,356.94 and 269,671.86 is: 404,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,501.21 : 783,356.94 = 269,671.86 : x
  2. Step 2: Convert to fraction form
    522,501.21/783,356.94 = 269,671.86/x
  3. Step 3: Cross multiply
    522,501.21x = 783,356.94 × 269,671.86
  4. Step 4: Simplify right side
    522,501.21x = 211,249,323,053.71
  5. Step 5: Solve for x
    x = 211,249,323,053.71/522,501.21
  6. Step 6: Final answer
    x = 404,303.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.