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Finding the Fourth Proportional to 291,903.10, 438,000.45 and 165,640.30

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Solution

The fourth proportional to 291,903.10, 438,000.45 and 165,640.30 is: 248,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,903.10 : 438,000.45 = 165,640.30 : x
  2. Step 2: Convert to fraction form
    291,903.10/438,000.45 = 165,640.30/x
  3. Step 3: Cross multiply
    291,903.10x = 438,000.45 × 165,640.30
  4. Step 4: Simplify right side
    291,903.10x = 72,550,525,938.14
  5. Step 5: Solve for x
    x = 72,550,525,938.14/291,903.10
  6. Step 6: Final answer
    x = 248,543.18

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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.