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Finding the Fourth Proportional to 402,315.30, 603,088.95 and 149,528.10

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Solution

The fourth proportional to 402,315.30, 603,088.95 and 149,528.10 is: 224,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,315.30 : 603,088.95 = 149,528.10 : x
  2. Step 2: Convert to fraction form
    402,315.30/603,088.95 = 149,528.10/x
  3. Step 3: Cross multiply
    402,315.30x = 603,088.95 × 149,528.10
  4. Step 4: Simplify right side
    402,315.30x = 90,178,744,824.50
  5. Step 5: Solve for x
    x = 90,178,744,824.50/402,315.30
  6. Step 6: Final answer
    x = 224,149.43

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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.