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Finding the Fourth Proportional to 282,758.02, 390,208.83 and 153,696.42

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Solution

The fourth proportional to 282,758.02, 390,208.83 and 153,696.42 is: 212,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,758.02 : 390,208.83 = 153,696.42 : x
  2. Step 2: Convert to fraction form
    282,758.02/390,208.83 = 153,696.42/x
  3. Step 3: Cross multiply
    282,758.02x = 390,208.83 × 153,696.42
  4. Step 4: Simplify right side
    282,758.02x = 59,973,700,223.39
  5. Step 5: Solve for x
    x = 59,973,700,223.39/282,758.02
  6. Step 6: Final answer
    x = 212,102.56

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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.