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Finding the Fourth Proportional to 432,364.50, 596,491.38 and 288,897.30

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Solution

The fourth proportional to 432,364.50, 596,491.38 and 288,897.30 is: 398,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,364.50 : 596,491.38 = 288,897.30 : x
  2. Step 2: Convert to fraction form
    432,364.50/596,491.38 = 288,897.30/x
  3. Step 3: Cross multiply
    432,364.50x = 596,491.38 × 288,897.30
  4. Step 4: Simplify right side
    432,364.50x = 172,324,749,155.27
  5. Step 5: Solve for x
    x = 172,324,749,155.27/432,364.50
  6. Step 6: Final answer
    x = 398,563.59

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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.