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Finding the Fourth Proportional to 514,070.03, 709,438.82 and 284,627.32

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Solution

The fourth proportional to 514,070.03, 709,438.82 and 284,627.32 is: 392,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,070.03 : 709,438.82 = 284,627.32 : x
  2. Step 2: Convert to fraction form
    514,070.03/709,438.82 = 284,627.32/x
  3. Step 3: Cross multiply
    514,070.03x = 709,438.82 × 284,627.32
  4. Step 4: Simplify right side
    514,070.03x = 201,925,666,843.83
  5. Step 5: Solve for x
    x = 201,925,666,843.83/514,070.03
  6. Step 6: Final answer
    x = 392,797.97

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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.