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Finding the Fourth Proportional to 513,567.84, 708,721.20 and 287,214.24

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Solution

The fourth proportional to 513,567.84, 708,721.20 and 287,214.24 is: 396,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,567.84 : 708,721.20 = 287,214.24 : x
  2. Step 2: Convert to fraction form
    513,567.84/708,721.20 = 287,214.24/x
  3. Step 3: Cross multiply
    513,567.84x = 708,721.20 × 287,214.24
  4. Step 4: Simplify right side
    513,567.84x = 203,554,820,829.89
  5. Step 5: Solve for x
    x = 203,554,820,829.89/513,567.84
  6. Step 6: Final answer
    x = 396,354.30

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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.