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Finding the Fourth Proportional to 388,199.94, 535,727.93 and 211,402.17

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Solution

The fourth proportional to 388,199.94, 535,727.93 and 211,402.17 is: 291,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,199.94 : 535,727.93 = 211,402.17 : x
  2. Step 2: Convert to fraction form
    388,199.94/535,727.93 = 211,402.17/x
  3. Step 3: Cross multiply
    388,199.94x = 535,727.93 × 211,402.17
  4. Step 4: Simplify right side
    388,199.94x = 113,254,046,931.61
  5. Step 5: Solve for x
    x = 113,254,046,931.61/388,199.94
  6. Step 6: Final answer
    x = 291,741.54

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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.