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Finding the Fourth Proportional to 282,431.46, 389,754.13 and 153,368.90

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Solution

The fourth proportional to 282,431.46, 389,754.13 and 153,368.90 is: 211,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,431.46 : 389,754.13 = 153,368.90 : x
  2. Step 2: Convert to fraction form
    282,431.46/389,754.13 = 153,368.90/x
  3. Step 3: Cross multiply
    282,431.46x = 389,754.13 × 153,368.90
  4. Step 4: Simplify right side
    282,431.46x = 59,776,160,239.79
  5. Step 5: Solve for x
    x = 59,776,160,239.79/282,431.46
  6. Step 6: Final answer
    x = 211,648.38

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1.5x scale

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.