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Finding the Fourth Proportional to 401,363.76, 553,403.16 and 258,129.84

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Solution

The fourth proportional to 401,363.76, 553,403.16 and 258,129.84 is: 355,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,363.76 : 553,403.16 = 258,129.84 : x
  2. Step 2: Convert to fraction form
    401,363.76/553,403.16 = 258,129.84/x
  3. Step 3: Cross multiply
    401,363.76x = 553,403.16 × 258,129.84
  4. Step 4: Simplify right side
    401,363.76x = 142,849,869,146.29
  5. Step 5: Solve for x
    x = 142,849,869,146.29/401,363.76
  6. Step 6: Final answer
    x = 355,911.23

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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.