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Finding the Fourth Proportional to 513,390, 708,461.28 and 283,943.64

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Solution

The fourth proportional to 513,390, 708,461.28 and 283,943.64 is: 391,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,390 : 708,461.28 = 283,943.64 : x
  2. Step 2: Convert to fraction form
    513,390/708,461.28 = 283,943.64/x
  3. Step 3: Cross multiply
    513,390x = 708,461.28 × 283,943.64
  4. Step 4: Simplify right side
    513,390x = 201,163,074,642.26
  5. Step 5: Solve for x
    x = 201,163,074,642.26/513,390
  6. Step 6: Final answer
    x = 391,832.87

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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.