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Finding the Fourth Proportional to 581,814, 802,913.04 and 380,610

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Solution

The fourth proportional to 581,814, 802,913.04 and 380,610 is: 525,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,814 : 802,913.04 = 380,610 : x
  2. Step 2: Convert to fraction form
    581,814/802,913.04 = 380,610/x
  3. Step 3: Cross multiply
    581,814x = 802,913.04 × 380,610
  4. Step 4: Simplify right side
    581,814x = 305,596,732,154.40
  5. Step 5: Solve for x
    x = 305,596,732,154.40/581,814
  6. Step 6: Final answer
    x = 525,248.16

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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.