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Finding the Fourth Proportional to 472,742.96, 652,371 and 257,886.32

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Solution

The fourth proportional to 472,742.96, 652,371 and 257,886.32 is: 355,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,742.96 : 652,371 = 257,886.32 : x
  2. Step 2: Convert to fraction form
    472,742.96/652,371 = 257,886.32/x
  3. Step 3: Cross multiply
    472,742.96x = 652,371 × 257,886.32
  4. Step 4: Simplify right side
    472,742.96x = 168,237,556,464.72
  5. Step 5: Solve for x
    x = 168,237,556,464.72/472,742.96
  6. Step 6: Final answer
    x = 355,875.33

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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.