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Finding the Fourth Proportional to 384,854.22, 531,075.94 and 212,761.87

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Solution

The fourth proportional to 384,854.22, 531,075.94 and 212,761.87 is: 293,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,854.22 : 531,075.94 = 212,761.87 : x
  2. Step 2: Convert to fraction form
    384,854.22/531,075.94 = 212,761.87/x
  3. Step 3: Cross multiply
    384,854.22x = 531,075.94 × 212,761.87
  4. Step 4: Simplify right side
    384,854.22x = 112,992,712,430.90
  5. Step 5: Solve for x
    x = 112,992,712,430.90/384,854.22
  6. Step 6: Final answer
    x = 293,598.74

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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.