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Finding the Fourth Proportional to 702,779.12, 969,441.72 and 416,019.76

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Solution

The fourth proportional to 702,779.12, 969,441.72 and 416,019.76 is: 573,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,779.12 : 969,441.72 = 416,019.76 : x
  2. Step 2: Convert to fraction form
    702,779.12/969,441.72 = 416,019.76/x
  3. Step 3: Cross multiply
    702,779.12x = 969,441.72 × 416,019.76
  4. Step 4: Simplify right side
    702,779.12x = 403,306,911,688.39
  5. Step 5: Solve for x
    x = 403,306,911,688.39/702,779.12
  6. Step 6: Final answer
    x = 573,874.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.