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Finding the Fourth Proportional to 513,020.16, 707,965.65 and 286,665.66

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Solution

The fourth proportional to 513,020.16, 707,965.65 and 286,665.66 is: 395,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,020.16 : 707,965.65 = 286,665.66 : x
  2. Step 2: Convert to fraction form
    513,020.16/707,965.65 = 286,665.66/x
  3. Step 3: Cross multiply
    513,020.16x = 707,965.65 × 286,665.66
  4. Step 4: Simplify right side
    513,020.16x = 202,949,440,314.58
  5. Step 5: Solve for x
    x = 202,949,440,314.58/513,020.16
  6. Step 6: Final answer
    x = 395,597.40

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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.