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Finding the Fourth Proportional to 388,430.21, 536,025.42 and 216,347.64

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Solution

The fourth proportional to 388,430.21, 536,025.42 and 216,347.64 is: 298,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,430.21 : 536,025.42 = 216,347.64 : x
  2. Step 2: Convert to fraction form
    388,430.21/536,025.42 = 216,347.64/x
  3. Step 3: Cross multiply
    388,430.21x = 536,025.42 × 216,347.64
  4. Step 4: Simplify right side
    388,430.21x = 115,967,834,597.01
  5. Step 5: Solve for x
    x = 115,967,834,597.01/388,430.21
  6. Step 6: Final answer
    x = 298,555.14

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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.