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Finding the Fourth Proportional to 557,407.86, 769,225.05 and 302,763.30

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Solution

The fourth proportional to 557,407.86, 769,225.05 and 302,763.30 is: 417,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,407.86 : 769,225.05 = 302,763.30 : x
  2. Step 2: Convert to fraction form
    557,407.86/769,225.05 = 302,763.30/x
  3. Step 3: Cross multiply
    557,407.86x = 769,225.05 × 302,763.30
  4. Step 4: Simplify right side
    557,407.86x = 232,893,114,580.67
  5. Step 5: Solve for x
    x = 232,893,114,580.67/557,407.86
  6. Step 6: Final answer
    x = 417,814.55

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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.