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Finding the Fourth Proportional to 425,714.95, 637,849.77 and 256,880.50

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Solution

The fourth proportional to 425,714.95, 637,849.77 and 256,880.50 is: 384,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,714.95 : 637,849.77 = 256,880.50 : x
  2. Step 2: Convert to fraction form
    425,714.95/637,849.77 = 256,880.50/x
  3. Step 3: Cross multiply
    425,714.95x = 637,849.77 × 256,880.50
  4. Step 4: Simplify right side
    425,714.95x = 163,851,164,653.24
  5. Step 5: Solve for x
    x = 163,851,164,653.24/425,714.95
  6. Step 6: Final answer
    x = 384,884.69

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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.