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Finding the Fourth Proportional to 208,309.95, 287,466.30 and 112,814.46

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Solution

The fourth proportional to 208,309.95, 287,466.30 and 112,814.46 is: 155,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,309.95 : 287,466.30 = 112,814.46 : x
  2. Step 2: Convert to fraction form
    208,309.95/287,466.30 = 112,814.46/x
  3. Step 3: Cross multiply
    208,309.95x = 287,466.30 × 112,814.46
  4. Step 4: Simplify right side
    208,309.95x = 32,430,355,402.70
  5. Step 5: Solve for x
    x = 32,430,355,402.70/208,309.95
  6. Step 6: Final answer
    x = 155,683.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.