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Finding the Fourth Proportional to 514,071.03, 709,440.20 and 284,628.32

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Solution

The fourth proportional to 514,071.03, 709,440.20 and 284,628.32 is: 392,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,071.03 : 709,440.20 = 284,628.32 : x
  2. Step 2: Convert to fraction form
    514,071.03/709,440.20 = 284,628.32/x
  3. Step 3: Cross multiply
    514,071.03x = 709,440.20 × 284,628.32
  4. Step 4: Simplify right side
    514,071.03x = 201,926,772,266.46
  5. Step 5: Solve for x
    x = 201,926,772,266.46/514,071.03
  6. Step 6: Final answer
    x = 392,799.36

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Similar ratio
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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.