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Finding the Fourth Proportional to 532,188, 734,420.40 and 293,724

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Solution

The fourth proportional to 532,188, 734,420.40 and 293,724 is: 405,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,188 : 734,420.40 = 293,724 : x
  2. Step 2: Convert to fraction form
    532,188/734,420.40 = 293,724/x
  3. Step 3: Cross multiply
    532,188x = 734,420.40 × 293,724
  4. Step 4: Simplify right side
    532,188x = 215,716,897,569.60
  5. Step 5: Solve for x
    x = 215,716,897,569.60/532,188
  6. Step 6: Final answer
    x = 405,339.65

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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.