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Finding the Fourth Proportional to 513,643, 708,830.10 and 287,288.44

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Solution

The fourth proportional to 513,643, 708,830.10 and 287,288.44 is: 396,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,643 : 708,830.10 = 287,288.44 : x
  2. Step 2: Convert to fraction form
    513,643/708,830.10 = 287,288.44/x
  3. Step 3: Cross multiply
    513,643x = 708,830.10 × 287,288.44
  4. Step 4: Simplify right side
    513,643x = 203,638,693,654.04
  5. Step 5: Solve for x
    x = 203,638,693,654.04/513,643
  6. Step 6: Final answer
    x = 396,459.59

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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.