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Finding the Fourth Proportional to 513,057, 708,018.66 and 286,702.50

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Solution

The fourth proportional to 513,057, 708,018.66 and 286,702.50 is: 395,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,057 : 708,018.66 = 286,702.50 : x
  2. Step 2: Convert to fraction form
    513,057/708,018.66 = 286,702.50/x
  3. Step 3: Cross multiply
    513,057x = 708,018.66 × 286,702.50
  4. Step 4: Simplify right side
    513,057x = 202,990,719,868.65
  5. Step 5: Solve for x
    x = 202,990,719,868.65/513,057
  6. Step 6: Final answer
    x = 395,649.45

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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.