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Finding the Fourth Proportional to 513,457.02, 708,595.56 and 284,013.32

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Solution

The fourth proportional to 513,457.02, 708,595.56 and 284,013.32 is: 391,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,457.02 : 708,595.56 = 284,013.32 : x
  2. Step 2: Convert to fraction form
    513,457.02/708,595.56 = 284,013.32/x
  3. Step 3: Cross multiply
    513,457.02x = 708,595.56 × 284,013.32
  4. Step 4: Simplify right side
    513,457.02x = 201,250,573,989.88
  5. Step 5: Solve for x
    x = 201,250,573,989.88/513,457.02
  6. Step 6: Final answer
    x = 391,952.13

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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.