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Finding the Fourth Proportional to 510,175.16, 765,235.40 and 155,161.50

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Solution

The fourth proportional to 510,175.16, 765,235.40 and 155,161.50 is: 232,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,175.16 : 765,235.40 = 155,161.50 : x
  2. Step 2: Convert to fraction form
    510,175.16/765,235.40 = 155,161.50/x
  3. Step 3: Cross multiply
    510,175.16x = 765,235.40 × 155,161.50
  4. Step 4: Simplify right side
    510,175.16x = 118,735,071,896.67
  5. Step 5: Solve for x
    x = 118,735,071,896.67/510,175.16
  6. Step 6: Final answer
    x = 232,733.93

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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.