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Finding the Fourth Proportional to 521,094.07, 781,099.18 and 201,465.47

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Solution

The fourth proportional to 521,094.07, 781,099.18 and 201,465.47 is: 301,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,094.07 : 781,099.18 = 201,465.47 : x
  2. Step 2: Convert to fraction form
    521,094.07/781,099.18 = 201,465.47/x
  3. Step 3: Cross multiply
    521,094.07x = 781,099.18 × 201,465.47
  4. Step 4: Simplify right side
    521,094.07x = 157,364,513,415.32
  5. Step 5: Solve for x
    x = 157,364,513,415.32/521,094.07
  6. Step 6: Final answer
    x = 301,988.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.