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Finding the Fourth Proportional to 458,753.56, 688,130.32 and 143,237.50

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Solution

The fourth proportional to 458,753.56, 688,130.32 and 143,237.50 is: 214,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,753.56 : 688,130.32 = 143,237.50 : x
  2. Step 2: Convert to fraction form
    458,753.56/688,130.32 = 143,237.50/x
  3. Step 3: Cross multiply
    458,753.56x = 688,130.32 × 143,237.50
  4. Step 4: Simplify right side
    458,753.56x = 98,566,066,711
  5. Step 5: Solve for x
    x = 98,566,066,711/458,753.56
  6. Step 6: Final answer
    x = 214,856.24

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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.