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Finding the Fourth Proportional to 516,312.60, 712,502.40 and 286,872

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Solution

The fourth proportional to 516,312.60, 712,502.40 and 286,872 is: 395,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,312.60 : 712,502.40 = 286,872 : x
  2. Step 2: Convert to fraction form
    516,312.60/712,502.40 = 286,872/x
  3. Step 3: Cross multiply
    516,312.60x = 712,502.40 × 286,872
  4. Step 4: Simplify right side
    516,312.60x = 204,396,988,492.80
  5. Step 5: Solve for x
    x = 204,396,988,492.80/516,312.60
  6. Step 6: Final answer
    x = 395,878.37

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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.