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Finding the Fourth Proportional to 524,579.40, 785,054.70 and 314,368.20

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Solution

The fourth proportional to 524,579.40, 785,054.70 and 314,368.20 is: 470,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,579.40 : 785,054.70 = 314,368.20 : x
  2. Step 2: Convert to fraction form
    524,579.40/785,054.70 = 314,368.20/x
  3. Step 3: Cross multiply
    524,579.40x = 785,054.70 × 314,368.20
  4. Step 4: Simplify right side
    524,579.40x = 246,796,232,940.54
  5. Step 5: Solve for x
    x = 246,796,232,940.54/524,579.40
  6. Step 6: Final answer
    x = 470,464.97

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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.