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Finding the Fourth Proportional to 291,661.41, 402,492.90 and 157,525.41

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Solution

The fourth proportional to 291,661.41, 402,492.90 and 157,525.41 is: 217,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,661.41 : 402,492.90 = 157,525.41 : x
  2. Step 2: Convert to fraction form
    291,661.41/402,492.90 = 157,525.41/x
  3. Step 3: Cross multiply
    291,661.41x = 402,492.90 × 157,525.41
  4. Step 4: Simplify right side
    291,661.41x = 63,402,859,094.59
  5. Step 5: Solve for x
    x = 63,402,859,094.59/291,661.41
  6. Step 6: Final answer
    x = 217,385.15

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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.