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Finding the Fourth Proportional to 516,897.76, 713,021.36 and 322,969.12

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Solution

The fourth proportional to 516,897.76, 713,021.36 and 322,969.12 is: 445,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,897.76 : 713,021.36 = 322,969.12 : x
  2. Step 2: Convert to fraction form
    516,897.76/713,021.36 = 322,969.12/x
  3. Step 3: Cross multiply
    516,897.76x = 713,021.36 × 322,969.12
  4. Step 4: Simplify right side
    516,897.76x = 230,283,881,180.40
  5. Step 5: Solve for x
    x = 230,283,881,180.40/516,897.76
  6. Step 6: Final answer
    x = 445,511.47

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1.5x scale

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.