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Finding the Fourth Proportional to 513,052.22, 708,006.84 and 286,697.72

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Solution

The fourth proportional to 513,052.22, 708,006.84 and 286,697.72 is: 395,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,052.22 : 708,006.84 = 286,697.72 : x
  2. Step 2: Convert to fraction form
    513,052.22/708,006.84 = 286,697.72/x
  3. Step 3: Cross multiply
    513,052.22x = 708,006.84 × 286,697.72
  4. Step 4: Simplify right side
    513,052.22x = 202,983,946,772.41
  5. Step 5: Solve for x
    x = 202,983,946,772.41/513,052.22
  6. Step 6: Final answer
    x = 395,639.93

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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.