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Finding the Fourth Proportional to 339,664.98, 509,497.46 and 152,457.78

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Solution

The fourth proportional to 339,664.98, 509,497.46 and 152,457.78 is: 228,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,664.98 : 509,497.46 = 152,457.78 : x
  2. Step 2: Convert to fraction form
    339,664.98/509,497.46 = 152,457.78/x
  3. Step 3: Cross multiply
    339,664.98x = 509,497.46 × 152,457.78
  4. Step 4: Simplify right side
    339,664.98x = 77,676,851,667.24
  5. Step 5: Solve for x
    x = 77,676,851,667.24/339,664.98
  6. Step 6: Final answer
    x = 228,686.67

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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.