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Finding the Fourth Proportional to 342,953.68, 473,507.20 and 214,088.40

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Solution

The fourth proportional to 342,953.68, 473,507.20 and 214,088.40 is: 295,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,953.68 : 473,507.20 = 214,088.40 : x
  2. Step 2: Convert to fraction form
    342,953.68/473,507.20 = 214,088.40/x
  3. Step 3: Cross multiply
    342,953.68x = 473,507.20 × 214,088.40
  4. Step 4: Simplify right side
    342,953.68x = 101,372,398,836.48
  5. Step 5: Solve for x
    x = 101,372,398,836.48/342,953.68
  6. Step 6: Final answer
    x = 295,586.27

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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.