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Finding the Fourth Proportional to 340,618.96, 510,056.07 and 284,319.10

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Solution

The fourth proportional to 340,618.96, 510,056.07 and 284,319.10 is: 425,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,618.96 : 510,056.07 = 284,319.10 : x
  2. Step 2: Convert to fraction form
    340,618.96/510,056.07 = 284,319.10/x
  3. Step 3: Cross multiply
    340,618.96x = 510,056.07 × 284,319.10
  4. Step 4: Simplify right side
    340,618.96x = 145,018,682,771.94
  5. Step 5: Solve for x
    x = 145,018,682,771.94/340,618.96
  6. Step 6: Final answer
    x = 425,750.47

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1.5x scale

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.