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Finding the Fourth Proportional to 510,820.90, 766,312.35 and 173,893.30

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Solution

The fourth proportional to 510,820.90, 766,312.35 and 173,893.30 is: 260,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,820.90 : 766,312.35 = 173,893.30 : x
  2. Step 2: Convert to fraction form
    510,820.90/766,312.35 = 173,893.30/x
  3. Step 3: Cross multiply
    510,820.90x = 766,312.35 × 173,893.30
  4. Step 4: Simplify right side
    510,820.90x = 133,256,583,372.26
  5. Step 5: Solve for x
    x = 133,256,583,372.26/510,820.90
  6. Step 6: Final answer
    x = 260,867.52

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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.