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Finding the Fourth Proportional to 309,962.76, 427,638.60 and 202,594.77

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Solution

The fourth proportional to 309,962.76, 427,638.60 and 202,594.77 is: 279,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,962.76 : 427,638.60 = 202,594.77 : x
  2. Step 2: Convert to fraction form
    309,962.76/427,638.60 = 202,594.77/x
  3. Step 3: Cross multiply
    309,962.76x = 427,638.60 × 202,594.77
  4. Step 4: Simplify right side
    309,962.76x = 86,637,343,810.12
  5. Step 5: Solve for x
    x = 86,637,343,810.12/309,962.76
  6. Step 6: Final answer
    x = 279,508.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.