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Finding the Fourth Proportional to 536,899, 805,348.50 and 142,915

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Solution

The fourth proportional to 536,899, 805,348.50 and 142,915 is: 214,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,899 : 805,348.50 = 142,915 : x
  2. Step 2: Convert to fraction form
    536,899/805,348.50 = 142,915/x
  3. Step 3: Cross multiply
    536,899x = 805,348.50 × 142,915
  4. Step 4: Simplify right side
    536,899x = 115,096,380,877.50
  5. Step 5: Solve for x
    x = 115,096,380,877.50/536,899
  6. Step 6: Final answer
    x = 214,372.50

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1.5x scale

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.