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Finding the Fourth Proportional to 509,430.88, 703,104.24 and 294,536.80

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Solution

The fourth proportional to 509,430.88, 703,104.24 and 294,536.80 is: 406,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,430.88 : 703,104.24 = 294,536.80 : x
  2. Step 2: Convert to fraction form
    509,430.88/703,104.24 = 294,536.80/x
  3. Step 3: Cross multiply
    509,430.88x = 703,104.24 × 294,536.80
  4. Step 4: Simplify right side
    509,430.88x = 207,090,072,916.03
  5. Step 5: Solve for x
    x = 207,090,072,916.03/509,430.88
  6. Step 6: Final answer
    x = 406,512.60

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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.