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Finding the Fourth Proportional to 472,090.37, 708,752.84 and 280,314.77

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Solution

The fourth proportional to 472,090.37, 708,752.84 and 280,314.77 is: 420,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,090.37 : 708,752.84 = 280,314.77 : x
  2. Step 2: Convert to fraction form
    472,090.37/708,752.84 = 280,314.77/x
  3. Step 3: Cross multiply
    472,090.37x = 708,752.84 × 280,314.77
  4. Step 4: Simplify right side
    472,090.37x = 198,673,884,386.11
  5. Step 5: Solve for x
    x = 198,673,884,386.11/472,090.37
  6. Step 6: Final answer
    x = 420,838.68

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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.