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Finding the Fourth Proportional to 557,333.70, 769,125.02 and 302,686.70

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Solution

The fourth proportional to 557,333.70, 769,125.02 and 302,686.70 is: 417,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,333.70 : 769,125.02 = 302,686.70 : x
  2. Step 2: Convert to fraction form
    557,333.70/769,125.02 = 302,686.70/x
  3. Step 3: Cross multiply
    557,333.70x = 769,125.02 × 302,686.70
  4. Step 4: Simplify right side
    557,333.70x = 232,803,914,191.23
  5. Step 5: Solve for x
    x = 232,803,914,191.23/557,333.70
  6. Step 6: Final answer
    x = 417,710.10

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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.