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Finding the Fourth Proportional to 342,977.20, 513,007.80 and 307,693.60

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Solution

The fourth proportional to 342,977.20, 513,007.80 and 307,693.60 is: 460,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,977.20 : 513,007.80 = 307,693.60 : x
  2. Step 2: Convert to fraction form
    342,977.20/513,007.80 = 307,693.60/x
  3. Step 3: Cross multiply
    342,977.20x = 513,007.80 × 307,693.60
  4. Step 4: Simplify right side
    342,977.20x = 157,849,216,810.08
  5. Step 5: Solve for x
    x = 157,849,216,810.08/342,977.20
  6. Step 6: Final answer
    x = 460,232.39

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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.