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Finding the Fourth Proportional to 406,323.94, 560,448.43 and 278,778.10

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Solution

The fourth proportional to 406,323.94, 560,448.43 and 278,778.10 is: 384,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,323.94 : 560,448.43 = 278,778.10 : x
  2. Step 2: Convert to fraction form
    406,323.94/560,448.43 = 278,778.10/x
  3. Step 3: Cross multiply
    406,323.94x = 560,448.43 × 278,778.10
  4. Step 4: Simplify right side
    406,323.94x = 156,240,748,463.38
  5. Step 5: Solve for x
    x = 156,240,748,463.38/406,323.94
  6. Step 6: Final answer
    x = 384,522.63

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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.