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Finding the Fourth Proportional to 307,438.65, 424,200.83 and 186,643.53

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Solution

The fourth proportional to 307,438.65, 424,200.83 and 186,643.53 is: 257,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,438.65 : 424,200.83 = 186,643.53 : x
  2. Step 2: Convert to fraction form
    307,438.65/424,200.83 = 186,643.53/x
  3. Step 3: Cross multiply
    307,438.65x = 424,200.83 × 186,643.53
  4. Step 4: Simplify right side
    307,438.65x = 79,174,339,406.91
  5. Step 5: Solve for x
    x = 79,174,339,406.91/307,438.65
  6. Step 6: Final answer
    x = 257,528.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.