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Finding the Fourth Proportional to 345,510.46, 476,820.68 and 202,316.64

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Solution

The fourth proportional to 345,510.46, 476,820.68 and 202,316.64 is: 279,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,510.46 : 476,820.68 = 202,316.64 : x
  2. Step 2: Convert to fraction form
    345,510.46/476,820.68 = 202,316.64/x
  3. Step 3: Cross multiply
    345,510.46x = 476,820.68 × 202,316.64
  4. Step 4: Simplify right side
    345,510.46x = 96,468,755,060.45
  5. Step 5: Solve for x
    x = 96,468,755,060.45/345,510.46
  6. Step 6: Final answer
    x = 279,206.47

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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.