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Finding the Fourth Proportional to 285,248.25, 428,019.93 and 145,007.01

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Solution

The fourth proportional to 285,248.25, 428,019.93 and 145,007.01 is: 217,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,248.25 : 428,019.93 = 145,007.01 : x
  2. Step 2: Convert to fraction form
    285,248.25/428,019.93 = 145,007.01/x
  3. Step 3: Cross multiply
    285,248.25x = 428,019.93 × 145,007.01
  4. Step 4: Simplify right side
    285,248.25x = 62,065,890,269.71
  5. Step 5: Solve for x
    x = 62,065,890,269.71/285,248.25
  6. Step 6: Final answer
    x = 217,585.53

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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.