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Finding the Fourth Proportional to 343,402.80, 513,937.80 and 301,412.40

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Solution

The fourth proportional to 343,402.80, 513,937.80 and 301,412.40 is: 451,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,402.80 : 513,937.80 = 301,412.40 : x
  2. Step 2: Convert to fraction form
    343,402.80/513,937.80 = 301,412.40/x
  3. Step 3: Cross multiply
    343,402.80x = 513,937.80 × 301,412.40
  4. Step 4: Simplify right side
    343,402.80x = 154,907,225,748.72
  5. Step 5: Solve for x
    x = 154,907,225,748.72/343,402.80
  6. Step 6: Final answer
    x = 451,094.82

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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.