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Finding the Fourth Proportional to 413,532, 570,402 and 298,619.28

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Solution

The fourth proportional to 413,532, 570,402 and 298,619.28 is: 411,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,532 : 570,402 = 298,619.28 : x
  2. Step 2: Convert to fraction form
    413,532/570,402 = 298,619.28/x
  3. Step 3: Cross multiply
    413,532x = 570,402 × 298,619.28
  4. Step 4: Simplify right side
    413,532x = 170,333,034,550.56
  5. Step 5: Solve for x
    x = 170,333,034,550.56/413,532
  6. Step 6: Final answer
    x = 411,898.07

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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.