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Finding the Fourth Proportional to 289,085.42, 433,813.21 and 156,058.31

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Solution

The fourth proportional to 289,085.42, 433,813.21 and 156,058.31 is: 234,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,085.42 : 433,813.21 = 156,058.31 : x
  2. Step 2: Convert to fraction form
    289,085.42/433,813.21 = 156,058.31/x
  3. Step 3: Cross multiply
    289,085.42x = 433,813.21 × 156,058.31
  4. Step 4: Simplify right side
    289,085.42x = 67,700,153,849.06
  5. Step 5: Solve for x
    x = 67,700,153,849.06/289,085.42
  6. Step 6: Final answer
    x = 234,187.37

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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.