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Finding the Fourth Proportional to 458,750.12, 688,125.24 and 143,234.06

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Solution

The fourth proportional to 458,750.12, 688,125.24 and 143,234.06 is: 214,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,750.12 : 688,125.24 = 143,234.06 : x
  2. Step 2: Convert to fraction form
    458,750.12/688,125.24 = 143,234.06/x
  3. Step 3: Cross multiply
    458,750.12x = 688,125.24 × 143,234.06
  4. Step 4: Simplify right side
    458,750.12x = 98,562,968,473.05
  5. Step 5: Solve for x
    x = 98,562,968,473.05/458,750.12
  6. Step 6: Final answer
    x = 214,851.10

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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.