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Finding the Fourth Proportional to 427,397.82, 589,841.02 and 243,640.77

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Solution

The fourth proportional to 427,397.82, 589,841.02 and 243,640.77 is: 336,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,397.82 : 589,841.02 = 243,640.77 : x
  2. Step 2: Convert to fraction form
    427,397.82/589,841.02 = 243,640.77/x
  3. Step 3: Cross multiply
    427,397.82x = 589,841.02 × 243,640.77
  4. Step 4: Simplify right side
    427,397.82x = 143,709,319,681.28
  5. Step 5: Solve for x
    x = 143,709,319,681.28/427,397.82
  6. Step 6: Final answer
    x = 336,242.52

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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.