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Finding the Fourth Proportional to 533,021.11, 735,547.03 and 291,312.05

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Solution

The fourth proportional to 533,021.11, 735,547.03 and 291,312.05 is: 401,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,021.11 : 735,547.03 = 291,312.05 : x
  2. Step 2: Convert to fraction form
    533,021.11/735,547.03 = 291,312.05/x
  3. Step 3: Cross multiply
    533,021.11x = 735,547.03 × 291,312.05
  4. Step 4: Simplify right side
    533,021.11x = 214,273,708,774.70
  5. Step 5: Solve for x
    x = 214,273,708,774.70/533,021.11
  6. Step 6: Final answer
    x = 401,998.54

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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.