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Finding the Fourth Proportional to 417,128, 576,111.84 and 282,758.72

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Solution

The fourth proportional to 417,128, 576,111.84 and 282,758.72 is: 390,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,128 : 576,111.84 = 282,758.72 : x
  2. Step 2: Convert to fraction form
    417,128/576,111.84 = 282,758.72/x
  3. Step 3: Cross multiply
    417,128x = 576,111.84 × 282,758.72
  4. Step 4: Simplify right side
    417,128x = 162,900,646,455.25
  5. Step 5: Solve for x
    x = 162,900,646,455.25/417,128
  6. Step 6: Final answer
    x = 390,529.16

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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.