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Finding the Fourth Proportional to 557,461.84, 769,259.30 and 302,807.56

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Solution

The fourth proportional to 557,461.84, 769,259.30 and 302,807.56 is: 417,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,461.84 : 769,259.30 = 302,807.56 : x
  2. Step 2: Convert to fraction form
    557,461.84/769,259.30 = 302,807.56/x
  3. Step 3: Cross multiply
    557,461.84x = 769,259.30 × 302,807.56
  4. Step 4: Simplify right side
    557,461.84x = 232,937,531,640.31
  5. Step 5: Solve for x
    x = 232,937,531,640.31/557,461.84
  6. Step 6: Final answer
    x = 417,853.77

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1.5x scale

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.