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Finding the Fourth Proportional to 457,190.30, 630,874.50 and 253,235.74

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Solution

The fourth proportional to 457,190.30, 630,874.50 and 253,235.74 is: 349,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,190.30 : 630,874.50 = 253,235.74 : x
  2. Step 2: Convert to fraction form
    457,190.30/630,874.50 = 253,235.74/x
  3. Step 3: Cross multiply
    457,190.30x = 630,874.50 × 253,235.74
  4. Step 4: Simplify right side
    457,190.30x = 159,759,970,854.63
  5. Step 5: Solve for x
    x = 159,759,970,854.63/457,190.30
  6. Step 6: Final answer
    x = 349,438.67

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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.