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Finding the Fourth Proportional to 304,543.91, 420,315.62 and 175,457.79

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Solution

The fourth proportional to 304,543.91, 420,315.62 and 175,457.79 is: 242,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,543.91 : 420,315.62 = 175,457.79 : x
  2. Step 2: Convert to fraction form
    304,543.91/420,315.62 = 175,457.79/x
  3. Step 3: Cross multiply
    304,543.91x = 420,315.62 × 175,457.79
  4. Step 4: Simplify right side
    304,543.91x = 73,747,648,910.39
  5. Step 5: Solve for x
    x = 73,747,648,910.39/304,543.91
  6. Step 6: Final answer
    x = 242,157.69

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1.5x scale

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.