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Finding the Fourth Proportional to 520,810.48, 779,941.76 and 470,323.60

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Solution

The fourth proportional to 520,810.48, 779,941.76 and 470,323.60 is: 704,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,810.48 : 779,941.76 = 470,323.60 : x
  2. Step 2: Convert to fraction form
    520,810.48/779,941.76 = 470,323.60/x
  3. Step 3: Cross multiply
    520,810.48x = 779,941.76 × 470,323.60
  4. Step 4: Simplify right side
    520,810.48x = 366,825,016,353.54
  5. Step 5: Solve for x
    x = 366,825,016,353.54/520,810.48
  6. Step 6: Final answer
    x = 704,334.94

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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.