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Finding the Fourth Proportional to 246,657, 369,985.50 and 80,445

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Solution

The fourth proportional to 246,657, 369,985.50 and 80,445 is: 120,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,657 : 369,985.50 = 80,445 : x
  2. Step 2: Convert to fraction form
    246,657/369,985.50 = 80,445/x
  3. Step 3: Cross multiply
    246,657x = 369,985.50 × 80,445
  4. Step 4: Simplify right side
    246,657x = 29,763,483,547.50
  5. Step 5: Solve for x
    x = 29,763,483,547.50/246,657
  6. Step 6: Final answer
    x = 120,667.50

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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.