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Finding the Fourth Proportional to 549,780.80, 824,671.20 and 409,812.80

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Solution

The fourth proportional to 549,780.80, 824,671.20 and 409,812.80 is: 614,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,780.80 : 824,671.20 = 409,812.80 : x
  2. Step 2: Convert to fraction form
    549,780.80/824,671.20 = 409,812.80/x
  3. Step 3: Cross multiply
    549,780.80x = 824,671.20 × 409,812.80
  4. Step 4: Simplify right side
    549,780.80x = 337,960,813,551.36
  5. Step 5: Solve for x
    x = 337,960,813,551.36/549,780.80
  6. Step 6: Final answer
    x = 614,719.20

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1.5x scale

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.