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Finding the Fourth Proportional to 472,261.87, 651,721.88 and 257,402.11

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Solution

The fourth proportional to 472,261.87, 651,721.88 and 257,402.11 is: 355,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,261.87 : 651,721.88 = 257,402.11 : x
  2. Step 2: Convert to fraction form
    472,261.87/651,721.88 = 257,402.11/x
  3. Step 3: Cross multiply
    472,261.87x = 651,721.88 × 257,402.11
  4. Step 4: Simplify right side
    472,261.87x = 167,754,585,758.16
  5. Step 5: Solve for x
    x = 167,754,585,758.16/472,261.87
  6. Step 6: Final answer
    x = 355,215.18

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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.