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Finding the Fourth Proportional to 472,761, 652,410.18 and 257,901.93

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Solution

The fourth proportional to 472,761, 652,410.18 and 257,901.93 is: 355,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,761 : 652,410.18 = 257,901.93 : x
  2. Step 2: Convert to fraction form
    472,761/652,410.18 = 257,901.93/x
  3. Step 3: Cross multiply
    472,761x = 652,410.18 × 257,901.93
  4. Step 4: Simplify right side
    472,761x = 168,257,844,573.65
  5. Step 5: Solve for x
    x = 168,257,844,573.65/472,761
  6. Step 6: Final answer
    x = 355,904.66

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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.