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Finding the Fourth Proportional to 470,539.20, 705,808.80 and 417,662.40

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Solution

The fourth proportional to 470,539.20, 705,808.80 and 417,662.40 is: 626,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,539.20 : 705,808.80 = 417,662.40 : x
  2. Step 2: Convert to fraction form
    470,539.20/705,808.80 = 417,662.40/x
  3. Step 3: Cross multiply
    470,539.20x = 705,808.80 × 417,662.40
  4. Step 4: Simplify right side
    470,539.20x = 294,789,797,349.12
  5. Step 5: Solve for x
    x = 294,789,797,349.12/470,539.20
  6. Step 6: Final answer
    x = 626,493.60

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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.