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Finding the Fourth Proportional to 291,941.82, 402,726.74 and 253,615.32

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Solution

The fourth proportional to 291,941.82, 402,726.74 and 253,615.32 is: 349,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,941.82 : 402,726.74 = 253,615.32 : x
  2. Step 2: Convert to fraction form
    291,941.82/402,726.74 = 253,615.32/x
  3. Step 3: Cross multiply
    291,941.82x = 402,726.74 × 253,615.32
  4. Step 4: Simplify right side
    291,941.82x = 102,137,671,037.66
  5. Step 5: Solve for x
    x = 102,137,671,037.66/291,941.82
  6. Step 6: Final answer
    x = 349,856.25

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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.