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Finding the Fourth Proportional to 346,706.12, 478,311.97 and 210,718.16

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Solution

The fourth proportional to 346,706.12, 478,311.97 and 210,718.16 is: 290,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,706.12 : 478,311.97 = 210,718.16 : x
  2. Step 2: Convert to fraction form
    346,706.12/478,311.97 = 210,718.16/x
  3. Step 3: Cross multiply
    346,706.12x = 478,311.97 × 210,718.16
  4. Step 4: Simplify right side
    346,706.12x = 100,789,018,224.38
  5. Step 5: Solve for x
    x = 100,789,018,224.38/346,706.12
  6. Step 6: Final answer
    x = 290,704.47

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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.