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Finding the Fourth Proportional to 457,441.02, 631,209.51 and 256,237.02

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Solution

The fourth proportional to 457,441.02, 631,209.51 and 256,237.02 is: 353,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,441.02 : 631,209.51 = 256,237.02 : x
  2. Step 2: Convert to fraction form
    457,441.02/631,209.51 = 256,237.02/x
  3. Step 3: Cross multiply
    457,441.02x = 631,209.51 × 256,237.02
  4. Step 4: Simplify right side
    457,441.02x = 161,739,243,838.06
  5. Step 5: Solve for x
    x = 161,739,243,838.06/457,441.02
  6. Step 6: Final answer
    x = 353,573.98

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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.