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Finding the Fourth Proportional to 291,725.52, 399,955.80 and 286,411.38

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Solution

The fourth proportional to 291,725.52, 399,955.80 and 286,411.38 is: 392,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,725.52 : 399,955.80 = 286,411.38 : x
  2. Step 2: Convert to fraction form
    291,725.52/399,955.80 = 286,411.38/x
  3. Step 3: Cross multiply
    291,725.52x = 399,955.80 × 286,411.38
  4. Step 4: Simplify right side
    291,725.52x = 114,551,892,617.00
  5. Step 5: Solve for x
    x = 114,551,892,617.00/291,725.52
  6. Step 6: Final answer
    x = 392,670.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.