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Finding the Fourth Proportional to 522,655.20, 782,000.19 and 309,537.18

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Solution

The fourth proportional to 522,655.20, 782,000.19 and 309,537.18 is: 463,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,655.20 : 782,000.19 = 309,537.18 : x
  2. Step 2: Convert to fraction form
    522,655.20/782,000.19 = 309,537.18/x
  3. Step 3: Cross multiply
    522,655.20x = 782,000.19 × 309,537.18
  4. Step 4: Simplify right side
    522,655.20x = 242,058,133,572.06
  5. Step 5: Solve for x
    x = 242,058,133,572.06/522,655.20
  6. Step 6: Final answer
    x = 463,131.59

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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.