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Finding the Fourth Proportional to 346,077.40, 519,116.10 and 308,752.60

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Solution

The fourth proportional to 346,077.40, 519,116.10 and 308,752.60 is: 463,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,077.40 : 519,116.10 = 308,752.60 : x
  2. Step 2: Convert to fraction form
    346,077.40/519,116.10 = 308,752.60/x
  3. Step 3: Cross multiply
    346,077.40x = 519,116.10 × 308,752.60
  4. Step 4: Simplify right side
    346,077.40x = 160,278,445,576.86
  5. Step 5: Solve for x
    x = 160,278,445,576.86/346,077.40
  6. Step 6: Final answer
    x = 463,128.90

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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.