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Finding the Fourth Proportional to 371,053.76, 512,054.30 and 209,905.40

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Solution

The fourth proportional to 371,053.76, 512,054.30 and 209,905.40 is: 289,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,053.76 : 512,054.30 = 209,905.40 : x
  2. Step 2: Convert to fraction form
    371,053.76/512,054.30 = 209,905.40/x
  3. Step 3: Cross multiply
    371,053.76x = 512,054.30 × 209,905.40
  4. Step 4: Simplify right side
    371,053.76x = 107,482,962,663.22
  5. Step 5: Solve for x
    x = 107,482,962,663.22/371,053.76
  6. Step 6: Final answer
    x = 289,669.51

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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.