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Finding the Fourth Proportional to 307,798.80, 460,647.90 and 257,935.20

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Solution

The fourth proportional to 307,798.80, 460,647.90 and 257,935.20 is: 386,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,798.80 : 460,647.90 = 257,935.20 : x
  2. Step 2: Convert to fraction form
    307,798.80/460,647.90 = 257,935.20/x
  3. Step 3: Cross multiply
    307,798.80x = 460,647.90 × 257,935.20
  4. Step 4: Simplify right side
    307,798.80x = 118,817,308,216.08
  5. Step 5: Solve for x
    x = 118,817,308,216.08/307,798.80
  6. Step 6: Final answer
    x = 386,022.65

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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.