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Finding the Fourth Proportional to 551,070.30, 826,614.21 and 209,518.93

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Solution

The fourth proportional to 551,070.30, 826,614.21 and 209,518.93 is: 314,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,070.30 : 826,614.21 = 209,518.93 : x
  2. Step 2: Convert to fraction form
    551,070.30/826,614.21 = 209,518.93/x
  3. Step 3: Cross multiply
    551,070.30x = 826,614.21 × 209,518.93
  4. Step 4: Simplify right side
    551,070.30x = 173,191,326,620.96
  5. Step 5: Solve for x
    x = 173,191,326,620.96/551,070.30
  6. Step 6: Final answer
    x = 314,281.73

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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.