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Finding the Fourth Proportional to 472,756.60, 652,402.75 and 257,895.13

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Solution

The fourth proportional to 472,756.60, 652,402.75 and 257,895.13 is: 355,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.60 : 652,402.75 = 257,895.13 : x
  2. Step 2: Convert to fraction form
    472,756.60/652,402.75 = 257,895.13/x
  3. Step 3: Cross multiply
    472,756.60x = 652,402.75 × 257,895.13
  4. Step 4: Simplify right side
    472,756.60x = 168,251,491,378.87
  5. Step 5: Solve for x
    x = 168,251,491,378.87/472,756.60
  6. Step 6: Final answer
    x = 355,894.54

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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.