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Finding the Fourth Proportional to 513,062.24, 708,020.64 and 286,707.72

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Solution

The fourth proportional to 513,062.24, 708,020.64 and 286,707.72 is: 395,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,062.24 : 708,020.64 = 286,707.72 : x
  2. Step 2: Convert to fraction form
    513,062.24/708,020.64 = 286,707.72/x
  3. Step 3: Cross multiply
    513,062.24x = 708,020.64 × 286,707.72
  4. Step 4: Simplify right side
    513,062.24x = 202,994,983,407.34
  5. Step 5: Solve for x
    x = 202,994,983,407.34/513,062.24
  6. Step 6: Final answer
    x = 395,653.72

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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.