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Finding the Fourth Proportional to 378,358,648.01, 522,134,703.30 and 204,518,392.01

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Solution

The fourth proportional to 378,358,648.01, 522,134,703.30 and 204,518,392.01 is: 282,235,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,358,648.01 : 522,134,703.30 = 204,518,392.01 : x
  2. Step 2: Convert to fraction form
    378,358,648.01/522,134,703.30 = 204,518,392.01/x
  3. Step 3: Cross multiply
    378,358,648.01x = 522,134,703.30 × 204,518,392.01
  4. Step 4: Simplify right side
    378,358,648.01x = 106,786,149,927,901,184
  5. Step 5: Solve for x
    x = 106,786,149,927,901,184/378,358,648.01
  6. Step 6: Final answer
    x = 282,235,256.13

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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.