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Finding the Fourth Proportional to 535,990.42, 803,984.82 and 417,750.40

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Solution

The fourth proportional to 535,990.42, 803,984.82 and 417,750.40 is: 626,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,990.42 : 803,984.82 = 417,750.40 : x
  2. Step 2: Convert to fraction form
    535,990.42/803,984.82 = 417,750.40/x
  3. Step 3: Cross multiply
    535,990.42x = 803,984.82 × 417,750.40
  4. Step 4: Simplify right side
    535,990.42x = 335,864,980,148.93
  5. Step 5: Solve for x
    x = 335,864,980,148.93/535,990.42
  6. Step 6: Final answer
    x = 626,624.97

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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.