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Finding the Fourth Proportional to 285,054.78, 427,461.86 and 85,403.54

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Solution

The fourth proportional to 285,054.78, 427,461.86 and 85,403.54 is: 128,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.78 : 427,461.86 = 85,403.54 : x
  2. Step 2: Convert to fraction form
    285,054.78/427,461.86 = 85,403.54/x
  3. Step 3: Cross multiply
    285,054.78x = 427,461.86 × 85,403.54
  4. Step 4: Simplify right side
    285,054.78x = 36,506,756,058.98
  5. Step 5: Solve for x
    x = 36,506,756,058.98/285,054.78
  6. Step 6: Final answer
    x = 128,069.26

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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.