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Finding the Fourth Proportional to 535,400.60, 803,100.90 and 409,429.40

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Solution

The fourth proportional to 535,400.60, 803,100.90 and 409,429.40 is: 614,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,400.60 : 803,100.90 = 409,429.40 : x
  2. Step 2: Convert to fraction form
    535,400.60/803,100.90 = 409,429.40/x
  3. Step 3: Cross multiply
    535,400.60x = 803,100.90 × 409,429.40
  4. Step 4: Simplify right side
    535,400.60x = 328,813,119,626.46
  5. Step 5: Solve for x
    x = 328,813,119,626.46/535,400.60
  6. Step 6: Final answer
    x = 614,144.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.