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Finding the Fourth Proportional to 343,457.56, 512,684.62 and 318,130.96

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Solution

The fourth proportional to 343,457.56, 512,684.62 and 318,130.96 is: 474,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,457.56 : 512,684.62 = 318,130.96 : x
  2. Step 2: Convert to fraction form
    343,457.56/512,684.62 = 318,130.96/x
  3. Step 3: Cross multiply
    343,457.56x = 512,684.62 × 318,130.96
  4. Step 4: Simplify right side
    343,457.56x = 163,100,850,337.84
  5. Step 5: Solve for x
    x = 163,100,850,337.84/343,457.56
  6. Step 6: Final answer
    x = 474,879.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.