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Finding the Fourth Proportional to 319,689.60, 478,689.60 and 256,214.40

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Solution

The fourth proportional to 319,689.60, 478,689.60 and 256,214.40 is: 383,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,689.60 : 478,689.60 = 256,214.40 : x
  2. Step 2: Convert to fraction form
    319,689.60/478,689.60 = 256,214.40/x
  3. Step 3: Cross multiply
    319,689.60x = 478,689.60 × 256,214.40
  4. Step 4: Simplify right side
    319,689.60x = 122,647,168,650.24
  5. Step 5: Solve for x
    x = 122,647,168,650.24/319,689.60
  6. Step 6: Final answer
    x = 383,644.54

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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.