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Finding the Fourth Proportional to 400,811.84, 553,220.16 and 231,148.16

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Solution

The fourth proportional to 400,811.84, 553,220.16 and 231,148.16 is: 319,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,811.84 : 553,220.16 = 231,148.16 : x
  2. Step 2: Convert to fraction form
    400,811.84/553,220.16 = 231,148.16/x
  3. Step 3: Cross multiply
    400,811.84x = 553,220.16 × 231,148.16
  4. Step 4: Simplify right side
    400,811.84x = 127,875,822,058.91
  5. Step 5: Solve for x
    x = 127,875,822,058.91/400,811.84
  6. Step 6: Final answer
    x = 319,042.03

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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.