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Finding the Fourth Proportional to 517,438.60, 714,064.26 and 291,084.28

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Solution

The fourth proportional to 517,438.60, 714,064.26 and 291,084.28 is: 401,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,438.60 : 714,064.26 = 291,084.28 : x
  2. Step 2: Convert to fraction form
    517,438.60/714,064.26 = 291,084.28/x
  3. Step 3: Cross multiply
    517,438.60x = 714,064.26 × 291,084.28
  4. Step 4: Simplify right side
    517,438.60x = 207,852,880,995.83
  5. Step 5: Solve for x
    x = 207,852,880,995.83/517,438.60
  6. Step 6: Final answer
    x = 401,695.74

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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.