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Finding the Fourth Proportional to 513,055.22, 708,010.98 and 286,700.72

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Solution

The fourth proportional to 513,055.22, 708,010.98 and 286,700.72 is: 395,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,055.22 : 708,010.98 = 286,700.72 : x
  2. Step 2: Convert to fraction form
    513,055.22/708,010.98 = 286,700.72/x
  3. Step 3: Cross multiply
    513,055.22x = 708,010.98 × 286,700.72
  4. Step 4: Simplify right side
    513,055.22x = 202,987,257,733.91
  5. Step 5: Solve for x
    x = 202,987,257,733.91/513,055.22
  6. Step 6: Final answer
    x = 395,644.07

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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.