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Finding the Fourth Proportional to 512,807.74, 707,674.65 and 286,453.24

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Solution

The fourth proportional to 512,807.74, 707,674.65 and 286,453.24 is: 395,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,807.74 : 707,674.65 = 286,453.24 : x
  2. Step 2: Convert to fraction form
    512,807.74/707,674.65 = 286,453.24/x
  3. Step 3: Cross multiply
    512,807.74x = 707,674.65 × 286,453.24
  4. Step 4: Simplify right side
    512,807.74x = 202,715,696,358.37
  5. Step 5: Solve for x
    x = 202,715,696,358.37/512,807.74
  6. Step 6: Final answer
    x = 395,305.45

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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.