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Finding the Fourth Proportional to 386,065.95, 578,284.24 and 309,751.32

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Solution

The fourth proportional to 386,065.95, 578,284.24 and 309,751.32 is: 463,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,065.95 : 578,284.24 = 309,751.32 : x
  2. Step 2: Convert to fraction form
    386,065.95/578,284.24 = 309,751.32/x
  3. Step 3: Cross multiply
    386,065.95x = 578,284.24 × 309,751.32
  4. Step 4: Simplify right side
    386,065.95x = 179,124,303,732.25
  5. Step 5: Solve for x
    x = 179,124,303,732.25/386,065.95
  6. Step 6: Final answer
    x = 463,973.32

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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.