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Finding the Fourth Proportional to 457,190, 630,776.40 and 296,168.48

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Solution

The fourth proportional to 457,190, 630,776.40 and 296,168.48 is: 408,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,190 : 630,776.40 = 296,168.48 : x
  2. Step 2: Convert to fraction form
    457,190/630,776.40 = 296,168.48/x
  3. Step 3: Cross multiply
    457,190x = 630,776.40 × 296,168.48
  4. Step 4: Simplify right side
    457,190x = 186,816,087,607.87
  5. Step 5: Solve for x
    x = 186,816,087,607.87/457,190
  6. Step 6: Final answer
    x = 408,618.05

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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.