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Finding the Fourth Proportional to 434,796.75, 599,815.40 and 307,542.51

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Solution

The fourth proportional to 434,796.75, 599,815.40 and 307,542.51 is: 424,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,796.75 : 599,815.40 = 307,542.51 : x
  2. Step 2: Convert to fraction form
    434,796.75/599,815.40 = 307,542.51/x
  3. Step 3: Cross multiply
    434,796.75x = 599,815.40 × 307,542.51
  4. Step 4: Simplify right side
    434,796.75x = 184,468,732,114.94
  5. Step 5: Solve for x
    x = 184,468,732,114.94/434,796.75
  6. Step 6: Final answer
    x = 424,264.28

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1.5x scale

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.