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Finding the Fourth Proportional to 510,518.34, 765,719.46 and 136,570.50

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Solution

The fourth proportional to 510,518.34, 765,719.46 and 136,570.50 is: 204,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,518.34 : 765,719.46 = 136,570.50 : x
  2. Step 2: Convert to fraction form
    510,518.34/765,719.46 = 136,570.50/x
  3. Step 3: Cross multiply
    510,518.34x = 765,719.46 × 136,570.50
  4. Step 4: Simplify right side
    510,518.34x = 104,574,689,511.93
  5. Step 5: Solve for x
    x = 104,574,689,511.93/510,518.34
  6. Step 6: Final answer
    x = 204,840.22

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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.