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Finding the Fourth Proportional to 412,322.40, 578,080.80 and 412,322.40

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Solution

The fourth proportional to 412,322.40, 578,080.80 and 412,322.40 is: 578,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,322.40 : 578,080.80 = 412,322.40 : x
  2. Step 2: Convert to fraction form
    412,322.40/578,080.80 = 412,322.40/x
  3. Step 3: Cross multiply
    412,322.40x = 578,080.80 × 412,322.40
  4. Step 4: Simplify right side
    412,322.40x = 238,355,662,849.92
  5. Step 5: Solve for x
    x = 238,355,662,849.92/412,322.40
  6. Step 6: Final answer
    x = 578,080.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.