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Finding the Fourth Proportional to 487,967.65, 731,444.02 and 188,653.81

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Solution

The fourth proportional to 487,967.65, 731,444.02 and 188,653.81 is: 282,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,967.65 : 731,444.02 = 188,653.81 : x
  2. Step 2: Convert to fraction form
    487,967.65/731,444.02 = 188,653.81/x
  3. Step 3: Cross multiply
    487,967.65x = 731,444.02 × 188,653.81
  4. Step 4: Simplify right side
    487,967.65x = 137,989,701,174.72
  5. Step 5: Solve for x
    x = 137,989,701,174.72/487,967.65
  6. Step 6: Final answer
    x = 282,784.53

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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.