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Finding the Fourth Proportional to 487,607.94, 731,444.72 and 188,091

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Solution

The fourth proportional to 487,607.94, 731,444.72 and 188,091 is: 282,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,607.94 : 731,444.72 = 188,091 : x
  2. Step 2: Convert to fraction form
    487,607.94/731,444.72 = 188,091/x
  3. Step 3: Cross multiply
    487,607.94x = 731,444.72 × 188,091
  4. Step 4: Simplify right side
    487,607.94x = 137,578,167,889.07
  5. Step 5: Solve for x
    x = 137,578,167,889.07/487,607.94
  6. Step 6: Final answer
    x = 282,149.15

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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.