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Finding the Fourth Proportional to 316,240.40, 436,422.08 and 180,271.86

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Solution

The fourth proportional to 316,240.40, 436,422.08 and 180,271.86 is: 248,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,240.40 : 436,422.08 = 180,271.86 : x
  2. Step 2: Convert to fraction form
    316,240.40/436,422.08 = 180,271.86/x
  3. Step 3: Cross multiply
    316,240.40x = 436,422.08 × 180,271.86
  4. Step 4: Simplify right side
    316,240.40x = 78,674,620,106.67
  5. Step 5: Solve for x
    x = 78,674,620,106.67/316,240.40
  6. Step 6: Final answer
    x = 248,781.05

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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.