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Finding the Fourth Proportional to 520,813.48, 779,946.27 and 470,326.60

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Solution

The fourth proportional to 520,813.48, 779,946.27 and 470,326.60 is: 704,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,813.48 : 779,946.27 = 470,326.60 : x
  2. Step 2: Convert to fraction form
    520,813.48/779,946.27 = 470,326.60/x
  3. Step 3: Cross multiply
    520,813.48x = 779,946.27 × 470,326.60
  4. Step 4: Simplify right side
    520,813.48x = 366,829,477,351.78
  5. Step 5: Solve for x
    x = 366,829,477,351.78/520,813.48
  6. Step 6: Final answer
    x = 704,339.44

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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.