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Finding the Fourth Proportional to 288,683.84, 433,113.24 and 130,869.92

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Solution

The fourth proportional to 288,683.84, 433,113.24 and 130,869.92 is: 196,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,683.84 : 433,113.24 = 130,869.92 : x
  2. Step 2: Convert to fraction form
    288,683.84/433,113.24 = 130,869.92/x
  3. Step 3: Cross multiply
    288,683.84x = 433,113.24 × 130,869.92
  4. Step 4: Simplify right side
    288,683.84x = 56,681,495,069.74
  5. Step 5: Solve for x
    x = 56,681,495,069.74/288,683.84
  6. Step 6: Final answer
    x = 196,344.54

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1.5x scale

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.