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Finding the Fourth Proportional to 510,261.66, 764,298.99 and 415,039.86

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Solution

The fourth proportional to 510,261.66, 764,298.99 and 415,039.86 is: 621,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,261.66 : 764,298.99 = 415,039.86 : x
  2. Step 2: Convert to fraction form
    510,261.66/764,298.99 = 415,039.86/x
  3. Step 3: Cross multiply
    510,261.66x = 764,298.99 × 415,039.86
  4. Step 4: Simplify right side
    510,261.66x = 317,214,545,807.74
  5. Step 5: Solve for x
    x = 317,214,545,807.74/510,261.66
  6. Step 6: Final answer
    x = 621,670.35

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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.