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Finding the Fourth Proportional to 462,003.60, 693,005.40 and 312,412.80

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Solution

The fourth proportional to 462,003.60, 693,005.40 and 312,412.80 is: 468,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.60 : 693,005.40 = 312,412.80 : x
  2. Step 2: Convert to fraction form
    462,003.60/693,005.40 = 312,412.80/x
  3. Step 3: Cross multiply
    462,003.60x = 693,005.40 × 312,412.80
  4. Step 4: Simplify right side
    462,003.60x = 216,503,757,429.12
  5. Step 5: Solve for x
    x = 216,503,757,429.12/462,003.60
  6. Step 6: Final answer
    x = 468,619.20

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1.5x scale

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.