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Finding the Fourth Proportional to 512,809.74, 707,677.40 and 286,455.24

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Solution

The fourth proportional to 512,809.74, 707,677.40 and 286,455.24 is: 395,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,809.74 : 707,677.40 = 286,455.24 : x
  2. Step 2: Convert to fraction form
    512,809.74/707,677.40 = 286,455.24/x
  3. Step 3: Cross multiply
    512,809.74x = 707,677.40 × 286,455.24
  4. Step 4: Simplify right side
    512,809.74x = 202,717,899,459.58
  5. Step 5: Solve for x
    x = 202,717,899,459.58/512,809.74
  6. Step 6: Final answer
    x = 395,308.21

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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.