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Finding the Fourth Proportional to 346,064.10, 519,096.15 and 257,490.60

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Solution

The fourth proportional to 346,064.10, 519,096.15 and 257,490.60 is: 386,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,064.10 : 519,096.15 = 257,490.60 : x
  2. Step 2: Convert to fraction form
    346,064.10/519,096.15 = 257,490.60/x
  3. Step 3: Cross multiply
    346,064.10x = 519,096.15 × 257,490.60
  4. Step 4: Simplify right side
    346,064.10x = 133,662,379,121.19
  5. Step 5: Solve for x
    x = 133,662,379,121.19/346,064.10
  6. Step 6: Final answer
    x = 386,235.90

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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.