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Finding the Fourth Proportional to 413,570.52, 617,554.32 and 328,374.72

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Solution

The fourth proportional to 413,570.52, 617,554.32 and 328,374.72 is: 490,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,570.52 : 617,554.32 = 328,374.72 : x
  2. Step 2: Convert to fraction form
    413,570.52/617,554.32 = 328,374.72/x
  3. Step 3: Cross multiply
    413,570.52x = 617,554.32 × 328,374.72
  4. Step 4: Simplify right side
    413,570.52x = 202,789,226,914.79
  5. Step 5: Solve for x
    x = 202,789,226,914.79/413,570.52
  6. Step 6: Final answer
    x = 490,337.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.