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Finding the Fourth Proportional to 528,053.10, 728,711.82 and 286,334.93

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Solution

The fourth proportional to 528,053.10, 728,711.82 and 286,334.93 is: 395,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,053.10 : 728,711.82 = 286,334.93 : x
  2. Step 2: Convert to fraction form
    528,053.10/728,711.82 = 286,334.93/x
  3. Step 3: Cross multiply
    528,053.10x = 728,711.82 × 286,334.93
  4. Step 4: Simplify right side
    528,053.10x = 208,655,647,969.87
  5. Step 5: Solve for x
    x = 208,655,647,969.87/528,053.10
  6. Step 6: Final answer
    x = 395,141.41

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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.