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Finding the Fourth Proportional to 609,056.42, 912,981.98 and 288,645.12

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Solution

The fourth proportional to 609,056.42, 912,981.98 and 288,645.12 is: 432,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,056.42 : 912,981.98 = 288,645.12 : x
  2. Step 2: Convert to fraction form
    609,056.42/912,981.98 = 288,645.12/x
  3. Step 3: Cross multiply
    609,056.42x = 912,981.98 × 288,645.12
  4. Step 4: Simplify right side
    609,056.42x = 263,527,793,896.55
  5. Step 5: Solve for x
    x = 263,527,793,896.55/609,056.42
  6. Step 6: Final answer
    x = 432,682.08

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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.