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Finding the Fourth Proportional to 472,405.20, 708,607.80 and 431,070.90

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Solution

The fourth proportional to 472,405.20, 708,607.80 and 431,070.90 is: 646,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,405.20 : 708,607.80 = 431,070.90 : x
  2. Step 2: Convert to fraction form
    472,405.20/708,607.80 = 431,070.90/x
  3. Step 3: Cross multiply
    472,405.20x = 708,607.80 × 431,070.90
  4. Step 4: Simplify right side
    472,405.20x = 305,460,202,093.02
  5. Step 5: Solve for x
    x = 305,460,202,093.02/472,405.20
  6. Step 6: Final answer
    x = 646,606.35

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Similar ratio
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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.