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Finding the Fourth Proportional to 656,272, 905,658.24 and 380,684.16

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Solution

The fourth proportional to 656,272, 905,658.24 and 380,684.16 is: 525,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,272 : 905,658.24 = 380,684.16 : x
  2. Step 2: Convert to fraction form
    656,272/905,658.24 = 380,684.16/x
  3. Step 3: Cross multiply
    656,272x = 905,658.24 × 380,684.16
  4. Step 4: Simplify right side
    656,272x = 344,769,746,341.48
  5. Step 5: Solve for x
    x = 344,769,746,341.48/656,272
  6. Step 6: Final answer
    x = 525,345.81

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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.