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Finding the Fourth Proportional to 509,666.04, 703,324.22 and 280,223.08

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Solution

The fourth proportional to 509,666.04, 703,324.22 and 280,223.08 is: 386,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,666.04 : 703,324.22 = 280,223.08 : x
  2. Step 2: Convert to fraction form
    509,666.04/703,324.22 = 280,223.08/x
  3. Step 3: Cross multiply
    509,666.04x = 703,324.22 × 280,223.08
  4. Step 4: Simplify right side
    509,666.04x = 197,087,676,007.57
  5. Step 5: Solve for x
    x = 197,087,676,007.57/509,666.04
  6. Step 6: Final answer
    x = 386,699.64

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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.