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Finding the Fourth Proportional to 705,523.74, 972,696.30 and 509,125.41

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Solution

The fourth proportional to 705,523.74, 972,696.30 and 509,125.41 is: 701,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,523.74 : 972,696.30 = 509,125.41 : x
  2. Step 2: Convert to fraction form
    705,523.74/972,696.30 = 509,125.41/x
  3. Step 3: Cross multiply
    705,523.74x = 972,696.30 × 509,125.41
  4. Step 4: Simplify right side
    705,523.74x = 495,224,402,542.98
  5. Step 5: Solve for x
    x = 495,224,402,542.98/705,523.74
  6. Step 6: Final answer
    x = 701,924.51

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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.