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Finding the Fourth Proportional to 520,817.69, 779,952.59 and 470,330.75

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Solution

The fourth proportional to 520,817.69, 779,952.59 and 470,330.75 is: 704,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,817.69 : 779,952.59 = 470,330.75 : x
  2. Step 2: Convert to fraction form
    520,817.69/779,952.59 = 470,330.75/x
  3. Step 3: Cross multiply
    520,817.69x = 779,952.59 × 470,330.75
  4. Step 4: Simplify right side
    520,817.69x = 366,835,684,267.49
  5. Step 5: Solve for x
    x = 366,835,684,267.49/520,817.69
  6. Step 6: Final answer
    x = 704,345.67

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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.