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Finding the Fourth Proportional to 412,415.20, 619,083.60 and 385,343.20

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Solution

The fourth proportional to 412,415.20, 619,083.60 and 385,343.20 is: 578,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,415.20 : 619,083.60 = 385,343.20 : x
  2. Step 2: Convert to fraction form
    412,415.20/619,083.60 = 385,343.20/x
  3. Step 3: Cross multiply
    412,415.20x = 619,083.60 × 385,343.20
  4. Step 4: Simplify right side
    412,415.20x = 238,559,655,491.52
  5. Step 5: Solve for x
    x = 238,559,655,491.52/412,415.20
  6. Step 6: Final answer
    x = 578,445.35

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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.