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Finding the Fourth Proportional to 513,210.60, 708,211.62 and 286,859.88

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Solution

The fourth proportional to 513,210.60, 708,211.62 and 286,859.88 is: 395,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,210.60 : 708,211.62 = 286,859.88 : x
  2. Step 2: Convert to fraction form
    513,210.60/708,211.62 = 286,859.88/x
  3. Step 3: Cross multiply
    513,210.60x = 708,211.62 × 286,859.88
  4. Step 4: Simplify right side
    513,210.60x = 203,157,500,327.81
  5. Step 5: Solve for x
    x = 203,157,500,327.81/513,210.60
  6. Step 6: Final answer
    x = 395,856.01

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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.