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Finding the Fourth Proportional to 665,866.59, 999,510.66 and 286,974.31

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Solution

The fourth proportional to 665,866.59, 999,510.66 and 286,974.31 is: 430,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,866.59 : 999,510.66 = 286,974.31 : x
  2. Step 2: Convert to fraction form
    665,866.59/999,510.66 = 286,974.31/x
  3. Step 3: Cross multiply
    665,866.59x = 999,510.66 × 286,974.31
  4. Step 4: Simplify right side
    665,866.59x = 286,833,881,991.15
  5. Step 5: Solve for x
    x = 286,833,881,991.15/665,866.59
  6. Step 6: Final answer
    x = 430,767.79

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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.