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Finding the Fourth Proportional to 346,064.60, 519,096.90 and 257,491.10

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Solution

The fourth proportional to 346,064.60, 519,096.90 and 257,491.10 is: 386,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,064.60 : 519,096.90 = 257,491.10 : x
  2. Step 2: Convert to fraction form
    346,064.60/519,096.90 = 257,491.10/x
  3. Step 3: Cross multiply
    346,064.60x = 519,096.90 × 257,491.10
  4. Step 4: Simplify right side
    346,064.60x = 133,662,831,787.59
  5. Step 5: Solve for x
    x = 133,662,831,787.59/346,064.60
  6. Step 6: Final answer
    x = 386,236.65

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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.