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Finding the Fourth Proportional to 666,070.36, 999,433.59 and 311,032.78

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Solution

The fourth proportional to 666,070.36, 999,433.59 and 311,032.78 is: 466,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,070.36 : 999,433.59 = 311,032.78 : x
  2. Step 2: Convert to fraction form
    666,070.36/999,433.59 = 311,032.78/x
  3. Step 3: Cross multiply
    666,070.36x = 999,433.59 × 311,032.78
  4. Step 4: Simplify right side
    666,070.36x = 310,856,607,923.08
  5. Step 5: Solve for x
    x = 310,856,607,923.08/666,070.36
  6. Step 6: Final answer
    x = 466,702.36

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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.