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Finding the Fourth Proportional to 397,406.40, 596,109.60 and 257,323.20

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Solution

The fourth proportional to 397,406.40, 596,109.60 and 257,323.20 is: 385,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,406.40 : 596,109.60 = 257,323.20 : x
  2. Step 2: Convert to fraction form
    397,406.40/596,109.60 = 257,323.20/x
  3. Step 3: Cross multiply
    397,406.40x = 596,109.60 × 257,323.20
  4. Step 4: Simplify right side
    397,406.40x = 153,392,829,822.72
  5. Step 5: Solve for x
    x = 153,392,829,822.72/397,406.40
  6. Step 6: Final answer
    x = 385,984.80

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1.5x scale

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.