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Finding the Fourth Proportional to 472,321.24, 651,790.32 and 257,465.50

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Solution

The fourth proportional to 472,321.24, 651,790.32 and 257,465.50 is: 355,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,321.24 : 651,790.32 = 257,465.50 : x
  2. Step 2: Convert to fraction form
    472,321.24/651,790.32 = 257,465.50/x
  3. Step 3: Cross multiply
    472,321.24x = 651,790.32 × 257,465.50
  4. Step 4: Simplify right side
    472,321.24x = 167,813,520,633.96
  5. Step 5: Solve for x
    x = 167,813,520,633.96/472,321.24
  6. Step 6: Final answer
    x = 355,295.31

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1.5x scale

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.