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Finding the Fourth Proportional to 663,273.84, 915,465.24 and 421,509

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Solution

The fourth proportional to 663,273.84, 915,465.24 and 421,509 is: 581,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,273.84 : 915,465.24 = 421,509 : x
  2. Step 2: Convert to fraction form
    663,273.84/915,465.24 = 421,509/x
  3. Step 3: Cross multiply
    663,273.84x = 915,465.24 × 421,509
  4. Step 4: Simplify right side
    663,273.84x = 385,876,837,847.16
  5. Step 5: Solve for x
    x = 385,876,837,847.16/663,273.84
  6. Step 6: Final answer
    x = 581,776.05

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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.