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Finding the Fourth Proportional to 764,365.86, 1,054,838.34 and 420,216.30

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Solution

The fourth proportional to 764,365.86, 1,054,838.34 and 420,216.30 is: 579,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,365.86 : 1,054,838.34 = 420,216.30 : x
  2. Step 2: Convert to fraction form
    764,365.86/1,054,838.34 = 420,216.30/x
  3. Step 3: Cross multiply
    764,365.86x = 1,054,838.34 × 420,216.30
  4. Step 4: Simplify right side
    764,365.86x = 443,260,264,332.94
  5. Step 5: Solve for x
    x = 443,260,264,332.94/764,365.86
  6. Step 6: Final answer
    x = 579,905.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.