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Finding the Fourth Proportional to 458,820.40, 688,230.60 and 143,309.20

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Solution

The fourth proportional to 458,820.40, 688,230.60 and 143,309.20 is: 214,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,820.40 : 688,230.60 = 143,309.20 : x
  2. Step 2: Convert to fraction form
    458,820.40/688,230.60 = 143,309.20/x
  3. Step 3: Cross multiply
    458,820.40x = 688,230.60 × 143,309.20
  4. Step 4: Simplify right side
    458,820.40x = 98,629,776,701.52
  5. Step 5: Solve for x
    x = 98,629,776,701.52/458,820.40
  6. Step 6: Final answer
    x = 214,963.80

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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.