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Finding the Fourth Proportional to 256,025,332.80, 383,471,128.80 and 210,675,700.80

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Solution

The fourth proportional to 256,025,332.80, 383,471,128.80 and 210,675,700.80 is: 315,547,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,025,332.80 : 383,471,128.80 = 210,675,700.80 : x
  2. Step 2: Convert to fraction form
    256,025,332.80/383,471,128.80 = 210,675,700.80/x
  3. Step 3: Cross multiply
    256,025,332.80x = 383,471,128.80 × 210,675,700.80
  4. Step 4: Simplify right side
    256,025,332.80x = 80,788,048,796,507,072
  5. Step 5: Solve for x
    x = 80,788,048,796,507,072/256,025,332.80
  6. Step 6: Final answer
    x = 315,547,090.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.