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Finding the Fourth Proportional to 557,288.76, 769,051.68 and 302,641.76

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Solution

The fourth proportional to 557,288.76, 769,051.68 and 302,641.76 is: 417,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,288.76 : 769,051.68 = 302,641.76 : x
  2. Step 2: Convert to fraction form
    557,288.76/769,051.68 = 302,641.76/x
  3. Step 3: Cross multiply
    557,288.76x = 769,051.68 × 302,641.76
  4. Step 4: Simplify right side
    557,288.76x = 232,747,153,966.16
  5. Step 5: Solve for x
    x = 232,747,153,966.16/557,288.76
  6. Step 6: Final answer
    x = 417,641.93

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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.