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Finding the Fourth Proportional to 513,907.57, 709,174.65 and 284,474.86

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Solution

The fourth proportional to 513,907.57, 709,174.65 and 284,474.86 is: 392,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,907.57 : 709,174.65 = 284,474.86 : x
  2. Step 2: Convert to fraction form
    513,907.57/709,174.65 = 284,474.86/x
  3. Step 3: Cross multiply
    513,907.57x = 709,174.65 × 284,474.86
  4. Step 4: Simplify right side
    513,907.57x = 201,742,359,274.30
  5. Step 5: Solve for x
    x = 201,742,359,274.30/513,907.57
  6. Step 6: Final answer
    x = 392,565.46

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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.