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Finding the Fourth Proportional to 340,065.60, 510,098.40 and 309,739.20

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Solution

The fourth proportional to 340,065.60, 510,098.40 and 309,739.20 is: 464,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,065.60 : 510,098.40 = 309,739.20 : x
  2. Step 2: Convert to fraction form
    340,065.60/510,098.40 = 309,739.20/x
  3. Step 3: Cross multiply
    340,065.60x = 510,098.40 × 309,739.20
  4. Step 4: Simplify right side
    340,065.60x = 157,997,470,337.28
  5. Step 5: Solve for x
    x = 157,997,470,337.28/340,065.60
  6. Step 6: Final answer
    x = 464,608.80

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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.