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Finding the Fourth Proportional to 458,644.20, 688,031.10 and 143,068.20

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Solution

The fourth proportional to 458,644.20, 688,031.10 and 143,068.20 is: 214,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,644.20 : 688,031.10 = 143,068.20 : x
  2. Step 2: Convert to fraction form
    458,644.20/688,031.10 = 143,068.20/x
  3. Step 3: Cross multiply
    458,644.20x = 688,031.10 × 143,068.20
  4. Step 4: Simplify right side
    458,644.20x = 98,435,371,021.02
  5. Step 5: Solve for x
    x = 98,435,371,021.02/458,644.20
  6. Step 6: Final answer
    x = 214,622.51

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1.5x scale

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.