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Finding the Fourth Proportional to 417,130, 576,114.60 and 282,760.72

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Solution

The fourth proportional to 417,130, 576,114.60 and 282,760.72 is: 390,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,130 : 576,114.60 = 282,760.72 : x
  2. Step 2: Convert to fraction form
    417,130/576,114.60 = 282,760.72/x
  3. Step 3: Cross multiply
    417,130x = 576,114.60 × 282,760.72
  4. Step 4: Simplify right side
    417,130x = 162,902,579,098.51
  5. Step 5: Solve for x
    x = 162,902,579,098.51/417,130
  6. Step 6: Final answer
    x = 390,531.92

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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.