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Finding the Fourth Proportional to 368,291.16, 508,742.10 and 288,723.24

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Solution

The fourth proportional to 368,291.16, 508,742.10 and 288,723.24 is: 398,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,291.16 : 508,742.10 = 288,723.24 : x
  2. Step 2: Convert to fraction form
    368,291.16/508,742.10 = 288,723.24/x
  3. Step 3: Cross multiply
    368,291.16x = 508,742.10 × 288,723.24
  4. Step 4: Simplify right side
    368,291.16x = 146,885,667,436.40
  5. Step 5: Solve for x
    x = 146,885,667,436.40/368,291.16
  6. Step 6: Final answer
    x = 398,830.28

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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.