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Finding the Fourth Proportional to 389,395.86, 537,609.52 and 298,577.32

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Solution

The fourth proportional to 389,395.86, 537,609.52 and 298,577.32 is: 412,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,395.86 : 537,609.52 = 298,577.32 : x
  2. Step 2: Convert to fraction form
    389,395.86/537,609.52 = 298,577.32/x
  3. Step 3: Cross multiply
    389,395.86x = 537,609.52 × 298,577.32
  4. Step 4: Simplify right side
    389,395.86x = 160,518,009,688.09
  5. Step 5: Solve for x
    x = 160,518,009,688.09/389,395.86
  6. Step 6: Final answer
    x = 412,223.21

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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.