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Finding the Fourth Proportional to 282,385.29, 389,695.05 and 153,325.32

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Solution

The fourth proportional to 282,385.29, 389,695.05 and 153,325.32 is: 211,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,385.29 : 389,695.05 = 153,325.32 : x
  2. Step 2: Convert to fraction form
    282,385.29/389,695.05 = 153,325.32/x
  3. Step 3: Cross multiply
    282,385.29x = 389,695.05 × 153,325.32
  4. Step 4: Simplify right side
    282,385.29x = 59,750,118,243.67
  5. Step 5: Solve for x
    x = 59,750,118,243.67/282,385.29
  6. Step 6: Final answer
    x = 211,590.76

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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.