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Finding the Fourth Proportional to 475,329.60, 709,309.02 and 424,853.64

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Solution

The fourth proportional to 475,329.60, 709,309.02 and 424,853.64 is: 633,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,329.60 : 709,309.02 = 424,853.64 : x
  2. Step 2: Convert to fraction form
    475,329.60/709,309.02 = 424,853.64/x
  3. Step 3: Cross multiply
    475,329.60x = 709,309.02 × 424,853.64
  4. Step 4: Simplify right side
    475,329.60x = 301,352,519,031.83
  5. Step 5: Solve for x
    x = 301,352,519,031.83/475,329.60
  6. Step 6: Final answer
    x = 633,986.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.