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Finding the Fourth Proportional to 517,911.43, 714,146.54 and 354,594.81

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Solution

The fourth proportional to 517,911.43, 714,146.54 and 354,594.81 is: 488,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,911.43 : 714,146.54 = 354,594.81 : x
  2. Step 2: Convert to fraction form
    517,911.43/714,146.54 = 354,594.81/x
  3. Step 3: Cross multiply
    517,911.43x = 714,146.54 × 354,594.81
  4. Step 4: Simplify right side
    517,911.43x = 253,232,656,663.46
  5. Step 5: Solve for x
    x = 253,232,656,663.46/517,911.43
  6. Step 6: Final answer
    x = 488,949.74

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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.