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Finding the Fourth Proportional to 458,751.12, 688,126.74 and 143,235.06

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Solution

The fourth proportional to 458,751.12, 688,126.74 and 143,235.06 is: 214,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,751.12 : 688,126.74 = 143,235.06 : x
  2. Step 2: Convert to fraction form
    458,751.12/688,126.74 = 143,235.06/x
  3. Step 3: Cross multiply
    458,751.12x = 688,126.74 × 143,235.06
  4. Step 4: Simplify right side
    458,751.12x = 98,563,874,891.50
  5. Step 5: Solve for x
    x = 98,563,874,891.50/458,751.12
  6. Step 6: Final answer
    x = 214,852.61

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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.