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Finding the Fourth Proportional to 413,572.52, 617,557.30 and 328,376.72

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Solution

The fourth proportional to 413,572.52, 617,557.30 and 328,376.72 is: 490,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,572.52 : 617,557.30 = 328,376.72 : x
  2. Step 2: Convert to fraction form
    413,572.52/617,557.30 = 328,376.72/x
  3. Step 3: Cross multiply
    413,572.52x = 617,557.30 × 328,376.72
  4. Step 4: Simplify right side
    413,572.52x = 202,791,440,586.06
  5. Step 5: Solve for x
    x = 202,791,440,586.06/413,572.52
  6. Step 6: Final answer
    x = 490,340.70

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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.