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Finding the Fourth Proportional to 546,885.70, 820,328.55 and 489,312.93

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Solution

The fourth proportional to 546,885.70, 820,328.55 and 489,312.93 is: 733,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,885.70 : 820,328.55 = 489,312.93 : x
  2. Step 2: Convert to fraction form
    546,885.70/820,328.55 = 489,312.93/x
  3. Step 3: Cross multiply
    546,885.70x = 820,328.55 × 489,312.93
  4. Step 4: Simplify right side
    546,885.70x = 401,397,366,363.15
  5. Step 5: Solve for x
    x = 401,397,366,363.15/546,885.70
  6. Step 6: Final answer
    x = 733,969.40

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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.