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Finding the Fourth Proportional to 369,880.56, 510,435 and 208,769.40

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Solution

The fourth proportional to 369,880.56, 510,435 and 208,769.40 is: 288,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,880.56 : 510,435 = 208,769.40 : x
  2. Step 2: Convert to fraction form
    369,880.56/510,435 = 208,769.40/x
  3. Step 3: Cross multiply
    369,880.56x = 510,435 × 208,769.40
  4. Step 4: Simplify right side
    369,880.56x = 106,563,208,689
  5. Step 5: Solve for x
    x = 106,563,208,689/369,880.56
  6. Step 6: Final answer
    x = 288,101.67

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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.