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Finding the Fourth Proportional to 401,294.52, 553,792.68 and 220,023

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Solution

The fourth proportional to 401,294.52, 553,792.68 and 220,023 is: 303,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,294.52 : 553,792.68 = 220,023 : x
  2. Step 2: Convert to fraction form
    401,294.52/553,792.68 = 220,023/x
  3. Step 3: Cross multiply
    401,294.52x = 553,792.68 × 220,023
  4. Step 4: Simplify right side
    401,294.52x = 121,847,126,831.64
  5. Step 5: Solve for x
    x = 121,847,126,831.64/401,294.52
  6. Step 6: Final answer
    x = 303,635.16

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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.