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Finding the Fourth Proportional to 472,537.72, 652,117.80 and 257,689.54

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Solution

The fourth proportional to 472,537.72, 652,117.80 and 257,689.54 is: 355,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,537.72 : 652,117.80 = 257,689.54 : x
  2. Step 2: Convert to fraction form
    472,537.72/652,117.80 = 257,689.54/x
  3. Step 3: Cross multiply
    472,537.72x = 652,117.80 × 257,689.54
  4. Step 4: Simplify right side
    472,537.72x = 168,043,935,907.81
  5. Step 5: Solve for x
    x = 168,043,935,907.81/472,537.72
  6. Step 6: Final answer
    x = 355,620.15

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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.