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Finding the Fourth Proportional to 570,047.40, 786,542.94 and 343,688.04

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Solution

The fourth proportional to 570,047.40, 786,542.94 and 343,688.04 is: 474,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,047.40 : 786,542.94 = 343,688.04 : x
  2. Step 2: Convert to fraction form
    570,047.40/786,542.94 = 343,688.04/x
  3. Step 3: Cross multiply
    570,047.40x = 786,542.94 × 343,688.04
  4. Step 4: Simplify right side
    570,047.40x = 270,325,401,424.44
  5. Step 5: Solve for x
    x = 270,325,401,424.44/570,047.40
  6. Step 6: Final answer
    x = 474,215.66

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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.