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Finding the Fourth Proportional to 570,165.48, 856,355.40 and 419,812.02

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Solution

The fourth proportional to 570,165.48, 856,355.40 and 419,812.02 is: 630,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,165.48 : 856,355.40 = 419,812.02 : x
  2. Step 2: Convert to fraction form
    570,165.48/856,355.40 = 419,812.02/x
  3. Step 3: Cross multiply
    570,165.48x = 856,355.40 × 419,812.02
  4. Step 4: Simplify right side
    570,165.48x = 359,508,290,311.91
  5. Step 5: Solve for x
    x = 359,508,290,311.91/570,165.48
  6. Step 6: Final answer
    x = 630,533.25

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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.