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Finding the Fourth Proportional to 314,603.52, 434,302.20 and 201,492.96

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Solution

The fourth proportional to 314,603.52, 434,302.20 and 201,492.96 is: 278,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,603.52 : 434,302.20 = 201,492.96 : x
  2. Step 2: Convert to fraction form
    314,603.52/434,302.20 = 201,492.96/x
  3. Step 3: Cross multiply
    314,603.52x = 434,302.20 × 201,492.96
  4. Step 4: Simplify right side
    314,603.52x = 87,508,835,812.51
  5. Step 5: Solve for x
    x = 87,508,835,812.51/314,603.52
  6. Step 6: Final answer
    x = 278,155.93

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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.