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Finding the Fourth Proportional to 472,297.11, 651,776.49 and 257,436.72

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Solution

The fourth proportional to 472,297.11, 651,776.49 and 257,436.72 is: 355,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,297.11 : 651,776.49 = 257,436.72 : x
  2. Step 2: Convert to fraction form
    472,297.11/651,776.49 = 257,436.72/x
  3. Step 3: Cross multiply
    472,297.11x = 651,776.49 × 257,436.72
  4. Step 4: Simplify right side
    472,297.11x = 167,791,201,011.65
  5. Step 5: Solve for x
    x = 167,791,201,011.65/472,297.11
  6. Step 6: Final answer
    x = 355,266.20

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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.