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Finding the Fourth Proportional to 523,319.40, 785,376.54 and 383,443.56

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Solution

The fourth proportional to 523,319.40, 785,376.54 and 383,443.56 is: 575,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,319.40 : 785,376.54 = 383,443.56 : x
  2. Step 2: Convert to fraction form
    523,319.40/785,376.54 = 383,443.56/x
  3. Step 3: Cross multiply
    523,319.40x = 785,376.54 × 383,443.56
  4. Step 4: Simplify right side
    523,319.40x = 301,147,576,438.08
  5. Step 5: Solve for x
    x = 301,147,576,438.08/523,319.40
  6. Step 6: Final answer
    x = 575,456.55

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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.