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Finding the Fourth Proportional to 516,460.10, 712,715.44 and 287,038.86

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Solution

The fourth proportional to 516,460.10, 712,715.44 and 287,038.86 is: 396,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,460.10 : 712,715.44 = 287,038.86 : x
  2. Step 2: Convert to fraction form
    516,460.10/712,715.44 = 287,038.86/x
  3. Step 3: Cross multiply
    516,460.10x = 712,715.44 × 287,038.86
  4. Step 4: Simplify right side
    516,460.10x = 204,577,027,402.00
  5. Step 5: Solve for x
    x = 204,577,027,402.00/516,460.10
  6. Step 6: Final answer
    x = 396,113.91

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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.