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Finding the Fourth Proportional to 285,628.86, 428,293.53 and 98,595.90

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Solution

The fourth proportional to 285,628.86, 428,293.53 and 98,595.90 is: 147,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,628.86 : 428,293.53 = 98,595.90 : x
  2. Step 2: Convert to fraction form
    285,628.86/428,293.53 = 98,595.90/x
  3. Step 3: Cross multiply
    285,628.86x = 428,293.53 × 98,595.90
  4. Step 4: Simplify right side
    285,628.86x = 42,227,986,054.53
  5. Step 5: Solve for x
    x = 42,227,986,054.53/285,628.86
  6. Step 6: Final answer
    x = 147,842.15

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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.