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Finding the Fourth Proportional to 338,411.80, 507,617.70 and 301,670.20

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Solution

The fourth proportional to 338,411.80, 507,617.70 and 301,670.20 is: 452,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,411.80 : 507,617.70 = 301,670.20 : x
  2. Step 2: Convert to fraction form
    338,411.80/507,617.70 = 301,670.20/x
  3. Step 3: Cross multiply
    338,411.80x = 507,617.70 × 301,670.20
  4. Step 4: Simplify right side
    338,411.80x = 153,133,133,082.54
  5. Step 5: Solve for x
    x = 153,133,133,082.54/338,411.80
  6. Step 6: Final answer
    x = 452,505.30

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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.