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Finding the Fourth Proportional to 535,849, 803,532.66 and 385,459

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Solution

The fourth proportional to 535,849, 803,532.66 and 385,459 is: 578,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,849 : 803,532.66 = 385,459 : x
  2. Step 2: Convert to fraction form
    535,849/803,532.66 = 385,459/x
  3. Step 3: Cross multiply
    535,849x = 803,532.66 × 385,459
  4. Step 4: Simplify right side
    535,849x = 309,728,895,590.94
  5. Step 5: Solve for x
    x = 309,728,895,590.94/535,849
  6. Step 6: Final answer
    x = 578,015.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.