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Finding the Fourth Proportional to 310,214.88, 465,322.56 and 99,852.80

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Solution

The fourth proportional to 310,214.88, 465,322.56 and 99,852.80 is: 149,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,214.88 : 465,322.56 = 99,852.80 : x
  2. Step 2: Convert to fraction form
    310,214.88/465,322.56 = 99,852.80/x
  3. Step 3: Cross multiply
    310,214.88x = 465,322.56 × 99,852.80
  4. Step 4: Simplify right side
    310,214.88x = 46,463,760,519.17
  5. Step 5: Solve for x
    x = 46,463,760,519.17/310,214.88
  6. Step 6: Final answer
    x = 149,779.28

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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.