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Finding the Fourth Proportional to 834,818, 1,152,048.84 and 477,129.68

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Solution

The fourth proportional to 834,818, 1,152,048.84 and 477,129.68 is: 658,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,818 : 1,152,048.84 = 477,129.68 : x
  2. Step 2: Convert to fraction form
    834,818/1,152,048.84 = 477,129.68/x
  3. Step 3: Cross multiply
    834,818x = 1,152,048.84 × 477,129.68
  4. Step 4: Simplify right side
    834,818x = 549,676,694,373.57
  5. Step 5: Solve for x
    x = 549,676,694,373.57/834,818
  6. Step 6: Final answer
    x = 658,438.96

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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.