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Finding the Fourth Proportional to 807,564.60, 1,209,888.90 and 470,329.20

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Solution

The fourth proportional to 807,564.60, 1,209,888.90 and 470,329.20 is: 704,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,564.60 : 1,209,888.90 = 470,329.20 : x
  2. Step 2: Convert to fraction form
    807,564.60/1,209,888.90 = 470,329.20/x
  3. Step 3: Cross multiply
    807,564.60x = 1,209,888.90 × 470,329.20
  4. Step 4: Simplify right side
    807,564.60x = 569,046,078,425.88
  5. Step 5: Solve for x
    x = 569,046,078,425.88/807,564.60
  6. Step 6: Final answer
    x = 704,644.65

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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.