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Finding the Fourth Proportional to 507,257.60, 760,828.80 and 133,318.40

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Solution

The fourth proportional to 507,257.60, 760,828.80 and 133,318.40 is: 199,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,257.60 : 760,828.80 = 133,318.40 : x
  2. Step 2: Convert to fraction form
    507,257.60/760,828.80 = 133,318.40/x
  3. Step 3: Cross multiply
    507,257.60x = 760,828.80 × 133,318.40
  4. Step 4: Simplify right side
    507,257.60x = 101,432,478,289.92
  5. Step 5: Solve for x
    x = 101,432,478,289.92/507,257.60
  6. Step 6: Final answer
    x = 199,962.46

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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.