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Finding the Fourth Proportional to 318,746.34, 478,170.18 and 105,522

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Solution

The fourth proportional to 318,746.34, 478,170.18 and 105,522 is: 158,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,746.34 : 478,170.18 = 105,522 : x
  2. Step 2: Convert to fraction form
    318,746.34/478,170.18 = 105,522/x
  3. Step 3: Cross multiply
    318,746.34x = 478,170.18 × 105,522
  4. Step 4: Simplify right side
    318,746.34x = 50,457,473,733.96
  5. Step 5: Solve for x
    x = 50,457,473,733.96/318,746.34
  6. Step 6: Final answer
    x = 158,299.77

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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.