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Finding the Fourth Proportional to 581,588, 802,604.40 and 355,358.24

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Solution

The fourth proportional to 581,588, 802,604.40 and 355,358.24 is: 490,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,588 : 802,604.40 = 355,358.24 : x
  2. Step 2: Convert to fraction form
    581,588/802,604.40 = 355,358.24/x
  3. Step 3: Cross multiply
    581,588x = 802,604.40 × 355,358.24
  4. Step 4: Simplify right side
    581,588x = 285,212,087,000.26
  5. Step 5: Solve for x
    x = 285,212,087,000.26/581,588
  6. Step 6: Final answer
    x = 490,402.29

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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.