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Finding the Fourth Proportional to 520,698.60, 778,974.30 and 470,932.20

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Solution

The fourth proportional to 520,698.60, 778,974.30 and 470,932.20 is: 704,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,698.60 : 778,974.30 = 470,932.20 : x
  2. Step 2: Convert to fraction form
    520,698.60/778,974.30 = 470,932.20/x
  3. Step 3: Cross multiply
    520,698.60x = 778,974.30 × 470,932.20
  4. Step 4: Simplify right side
    520,698.60x = 366,844,080,842.46
  5. Step 5: Solve for x
    x = 366,844,080,842.46/520,698.60
  6. Step 6: Final answer
    x = 704,522.89

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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.