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Finding the Fourth Proportional to 528,065.40, 792,875.70 and 409,870.20

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Solution

The fourth proportional to 528,065.40, 792,875.70 and 409,870.20 is: 615,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,065.40 : 792,875.70 = 409,870.20 : x
  2. Step 2: Convert to fraction form
    528,065.40/792,875.70 = 409,870.20/x
  3. Step 3: Cross multiply
    528,065.40x = 792,875.70 × 409,870.20
  4. Step 4: Simplify right side
    528,065.40x = 324,976,121,734.14
  5. Step 5: Solve for x
    x = 324,976,121,734.14/528,065.40
  6. Step 6: Final answer
    x = 615,408.85

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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.