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Finding the Fourth Proportional to 522,879.36, 784,319 and 365,415.36

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Solution

The fourth proportional to 522,879.36, 784,319 and 365,415.36 is: 548,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,879.36 : 784,319 = 365,415.36 : x
  2. Step 2: Convert to fraction form
    522,879.36/784,319 = 365,415.36/x
  3. Step 3: Cross multiply
    522,879.36x = 784,319 × 365,415.36
  4. Step 4: Simplify right side
    522,879.36x = 286,602,209,739.84
  5. Step 5: Solve for x
    x = 286,602,209,739.84/522,879.36
  6. Step 6: Final answer
    x = 548,123.01

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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.