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Finding the Fourth Proportional to 345,707.78, 477,108.06 and 209,776.17

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Solution

The fourth proportional to 345,707.78, 477,108.06 and 209,776.17 is: 289,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,707.78 : 477,108.06 = 209,776.17 : x
  2. Step 2: Convert to fraction form
    345,707.78/477,108.06 = 209,776.17/x
  3. Step 3: Cross multiply
    345,707.78x = 477,108.06 × 209,776.17
  4. Step 4: Simplify right side
    345,707.78x = 100,085,901,502.93
  5. Step 5: Solve for x
    x = 100,085,901,502.93/345,707.78
  6. Step 6: Final answer
    x = 289,510.12

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1.5x scale

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.