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Finding the Fourth Proportional to 370,154.96, 510,783 and 217,177.16

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Solution

The fourth proportional to 370,154.96, 510,783 and 217,177.16 is: 299,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,154.96 : 510,783 = 217,177.16 : x
  2. Step 2: Convert to fraction form
    370,154.96/510,783 = 217,177.16/x
  3. Step 3: Cross multiply
    370,154.96x = 510,783 × 217,177.16
  4. Step 4: Simplify right side
    370,154.96x = 110,930,401,316.28
  5. Step 5: Solve for x
    x = 110,930,401,316.28/370,154.96
  6. Step 6: Final answer
    x = 299,686.38

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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.