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Finding the Fourth Proportional to 412,265.40, 578,001 and 412,265.40

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Solution

The fourth proportional to 412,265.40, 578,001 and 412,265.40 is: 578,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,265.40 : 578,001 = 412,265.40 : x
  2. Step 2: Convert to fraction form
    412,265.40/578,001 = 412,265.40/x
  3. Step 3: Cross multiply
    412,265.40x = 578,001 × 412,265.40
  4. Step 4: Simplify right side
    412,265.40x = 238,289,813,465.40
  5. Step 5: Solve for x
    x = 238,289,813,465.40/412,265.40
  6. Step 6: Final answer
    x = 578,001

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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.