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Finding the Fourth Proportional to 487,969.65, 731,447.02 and 188,655.81

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Solution

The fourth proportional to 487,969.65, 731,447.02 and 188,655.81 is: 282,787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,969.65 : 731,447.02 = 188,655.81 : x
  2. Step 2: Convert to fraction form
    487,969.65/731,447.02 = 188,655.81/x
  3. Step 3: Cross multiply
    487,969.65x = 731,447.02 × 188,655.81
  4. Step 4: Simplify right side
    487,969.65x = 137,991,730,030.19
  5. Step 5: Solve for x
    x = 137,991,730,030.19/487,969.65
  6. Step 6: Final answer
    x = 282,787.53

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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.