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Finding the Fourth Proportional to 553,645.13, 764,032.91 and 311,931.54

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Solution

The fourth proportional to 553,645.13, 764,032.91 and 311,931.54 is: 430,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,645.13 : 764,032.91 = 311,931.54 : x
  2. Step 2: Convert to fraction form
    553,645.13/764,032.91 = 311,931.54/x
  3. Step 3: Cross multiply
    553,645.13x = 764,032.91 × 311,931.54
  4. Step 4: Simplify right side
    553,645.13x = 238,325,960,667.32
  5. Step 5: Solve for x
    x = 238,325,960,667.32/553,645.13
  6. Step 6: Final answer
    x = 430,467.01

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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.