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Finding the Fourth Proportional to 472,626.12, 652,221.18 and 257,765.16

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Solution

The fourth proportional to 472,626.12, 652,221.18 and 257,765.16 is: 355,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,626.12 : 652,221.18 = 257,765.16 : x
  2. Step 2: Convert to fraction form
    472,626.12/652,221.18 = 257,765.16/x
  3. Step 3: Cross multiply
    472,626.12x = 652,221.18 × 257,765.16
  4. Step 4: Simplify right side
    472,626.12x = 168,119,896,818.09
  5. Step 5: Solve for x
    x = 168,119,896,818.09/472,626.12
  6. Step 6: Final answer
    x = 355,714.36

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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.