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Finding the Fourth Proportional to 309,875.54, 464,815.35 and 85,259.70

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Solution

The fourth proportional to 309,875.54, 464,815.35 and 85,259.70 is: 127,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,875.54 : 464,815.35 = 85,259.70 : x
  2. Step 2: Convert to fraction form
    309,875.54/464,815.35 = 85,259.70/x
  3. Step 3: Cross multiply
    309,875.54x = 464,815.35 × 85,259.70
  4. Step 4: Simplify right side
    309,875.54x = 39,630,017,296.40
  5. Step 5: Solve for x
    x = 39,630,017,296.40/309,875.54
  6. Step 6: Final answer
    x = 127,890.11

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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.