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Finding the Fourth Proportional to 458,602.60, 686,543.10 and 340,796.20

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Solution

The fourth proportional to 458,602.60, 686,543.10 and 340,796.20 is: 510,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,602.60 : 686,543.10 = 340,796.20 : x
  2. Step 2: Convert to fraction form
    458,602.60/686,543.10 = 340,796.20/x
  3. Step 3: Cross multiply
    458,602.60x = 686,543.10 × 340,796.20
  4. Step 4: Simplify right side
    458,602.60x = 233,971,279,616.22
  5. Step 5: Solve for x
    x = 233,971,279,616.22/458,602.60
  6. Step 6: Final answer
    x = 510,183.06

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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.