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Finding the Fourth Proportional to 513,060.84, 708,020.28 and 286,706.34

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Solution

The fourth proportional to 513,060.84, 708,020.28 and 286,706.34 is: 395,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,060.84 : 708,020.28 = 286,706.34 : x
  2. Step 2: Convert to fraction form
    513,060.84/708,020.28 = 286,706.34/x
  3. Step 3: Cross multiply
    513,060.84x = 708,020.28 × 286,706.34
  4. Step 4: Simplify right side
    513,060.84x = 202,993,903,124.58
  5. Step 5: Solve for x
    x = 202,993,903,124.58/513,060.84
  6. Step 6: Final answer
    x = 395,652.69

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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.