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Finding the Fourth Proportional to 631,499, 947,716.02 and 299,075.96

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Solution

The fourth proportional to 631,499, 947,716.02 and 299,075.96 is: 448,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,499 : 947,716.02 = 299,075.96 : x
  2. Step 2: Convert to fraction form
    631,499/947,716.02 = 299,075.96/x
  3. Step 3: Cross multiply
    631,499x = 947,716.02 × 299,075.96
  4. Step 4: Simplify right side
    631,499x = 283,439,078,488.88
  5. Step 5: Solve for x
    x = 283,439,078,488.88/631,499
  6. Step 6: Final answer
    x = 448,835.36

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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.