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Finding the Fourth Proportional to 535,713.40, 802,014.90 and 520,161.40

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Solution

The fourth proportional to 535,713.40, 802,014.90 and 520,161.40 is: 778,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,713.40 : 802,014.90 = 520,161.40 : x
  2. Step 2: Convert to fraction form
    535,713.40/802,014.90 = 520,161.40/x
  3. Step 3: Cross multiply
    535,713.40x = 802,014.90 × 520,161.40
  4. Step 4: Simplify right side
    535,713.40x = 417,177,193,204.86
  5. Step 5: Solve for x
    x = 417,177,193,204.86/535,713.40
  6. Step 6: Final answer
    x = 778,732.05

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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.