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Finding the Fourth Proportional to 519,315.40, 778,973.10 and 342,022.60

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Solution

The fourth proportional to 519,315.40, 778,973.10 and 342,022.60 is: 513,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,315.40 : 778,973.10 = 342,022.60 : x
  2. Step 2: Convert to fraction form
    519,315.40/778,973.10 = 342,022.60/x
  3. Step 3: Cross multiply
    519,315.40x = 778,973.10 × 342,022.60
  4. Step 4: Simplify right side
    519,315.40x = 266,426,404,992.06
  5. Step 5: Solve for x
    x = 266,426,404,992.06/519,315.40
  6. Step 6: Final answer
    x = 513,033.90

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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.