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Finding the Fourth Proportional to 512,612.34, 707,437.80 and 286,257.84

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Solution

The fourth proportional to 512,612.34, 707,437.80 and 286,257.84 is: 395,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,612.34 : 707,437.80 = 286,257.84 : x
  2. Step 2: Convert to fraction form
    512,612.34/707,437.80 = 286,257.84/x
  3. Step 3: Cross multiply
    512,612.34x = 707,437.80 × 286,257.84
  4. Step 4: Simplify right side
    512,612.34x = 202,509,616,562.35
  5. Step 5: Solve for x
    x = 202,509,616,562.35/512,612.34
  6. Step 6: Final answer
    x = 395,054.12

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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.