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Finding the Fourth Proportional to 318,970.40, 478,455.60 and 141,823.40

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Solution

The fourth proportional to 318,970.40, 478,455.60 and 141,823.40 is: 212,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,970.40 : 478,455.60 = 141,823.40 : x
  2. Step 2: Convert to fraction form
    318,970.40/478,455.60 = 141,823.40/x
  3. Step 3: Cross multiply
    318,970.40x = 478,455.60 × 141,823.40
  4. Step 4: Simplify right side
    318,970.40x = 67,856,199,941.04
  5. Step 5: Solve for x
    x = 67,856,199,941.04/318,970.40
  6. Step 6: Final answer
    x = 212,735.10

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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.