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Finding the Fourth Proportional to 673,948.86, 928,468.80 and 469,629

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Solution

The fourth proportional to 673,948.86, 928,468.80 and 469,629 is: 646,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,948.86 : 928,468.80 = 469,629 : x
  2. Step 2: Convert to fraction form
    673,948.86/928,468.80 = 469,629/x
  3. Step 3: Cross multiply
    673,948.86x = 928,468.80 × 469,629
  4. Step 4: Simplify right side
    673,948.86x = 436,035,874,075.20
  5. Step 5: Solve for x
    x = 436,035,874,075.20/673,948.86
  6. Step 6: Final answer
    x = 646,986.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.