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Finding the Fourth Proportional to 532,866.78, 735,366.78 and 291,164.40

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Solution

The fourth proportional to 532,866.78, 735,366.78 and 291,164.40 is: 401,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,866.78 : 735,366.78 = 291,164.40 : x
  2. Step 2: Convert to fraction form
    532,866.78/735,366.78 = 291,164.40/x
  3. Step 3: Cross multiply
    532,866.78x = 735,366.78 × 291,164.40
  4. Step 4: Simplify right side
    532,866.78x = 214,112,627,278.63
  5. Step 5: Solve for x
    x = 214,112,627,278.63/532,866.78
  6. Step 6: Final answer
    x = 401,812.68

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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.