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Finding the Fourth Proportional to 472,285.64, 651,735.24 and 257,421.08

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Solution

The fourth proportional to 472,285.64, 651,735.24 and 257,421.08 is: 355,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,285.64 : 651,735.24 = 257,421.08 : x
  2. Step 2: Convert to fraction form
    472,285.64/651,735.24 = 257,421.08/x
  3. Step 3: Cross multiply
    472,285.64x = 651,735.24 × 257,421.08
  4. Step 4: Simplify right side
    472,285.64x = 167,770,389,354.86
  5. Step 5: Solve for x
    x = 167,770,389,354.86/472,285.64
  6. Step 6: Final answer
    x = 355,230.77

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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.