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Finding the Fourth Proportional to 523,167.10, 721,923.51 and 305,394.67

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Solution

The fourth proportional to 523,167.10, 721,923.51 and 305,394.67 is: 421,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,167.10 : 721,923.51 = 305,394.67 : x
  2. Step 2: Convert to fraction form
    523,167.10/721,923.51 = 305,394.67/x
  3. Step 3: Cross multiply
    523,167.10x = 721,923.51 × 305,394.67
  4. Step 4: Simplify right side
    523,167.10x = 220,471,592,101.69
  5. Step 5: Solve for x
    x = 220,471,592,101.69/523,167.10
  6. Step 6: Final answer
    x = 421,417.16

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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.