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Finding the Fourth Proportional to 291,957.30, 438,051.15 and 114,434.10

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Solution

The fourth proportional to 291,957.30, 438,051.15 and 114,434.10 is: 171,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.30 : 438,051.15 = 114,434.10 : x
  2. Step 2: Convert to fraction form
    291,957.30/438,051.15 = 114,434.10/x
  3. Step 3: Cross multiply
    291,957.30x = 438,051.15 × 114,434.10
  4. Step 4: Simplify right side
    291,957.30x = 50,127,989,104.22
  5. Step 5: Solve for x
    x = 50,127,989,104.22/291,957.30
  6. Step 6: Final answer
    x = 171,696.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.