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Finding the Fourth Proportional to 551,465.16, 827,281.80 and 281,445.84

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Solution

The fourth proportional to 551,465.16, 827,281.80 and 281,445.84 is: 422,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,465.16 : 827,281.80 = 281,445.84 : x
  2. Step 2: Convert to fraction form
    551,465.16/827,281.80 = 281,445.84/x
  3. Step 3: Cross multiply
    551,465.16x = 827,281.80 × 281,445.84
  4. Step 4: Simplify right side
    551,465.16x = 232,835,021,117.71
  5. Step 5: Solve for x
    x = 232,835,021,117.71/551,465.16
  6. Step 6: Final answer
    x = 422,211.66

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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.