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Finding the Fourth Proportional to 420,362.83, 580,114.71 and 229,386.70

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Solution

The fourth proportional to 420,362.83, 580,114.71 and 229,386.70 is: 316,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,362.83 : 580,114.71 = 229,386.70 : x
  2. Step 2: Convert to fraction form
    420,362.83/580,114.71 = 229,386.70/x
  3. Step 3: Cross multiply
    420,362.83x = 580,114.71 × 229,386.70
  4. Step 4: Simplify right side
    420,362.83x = 133,070,597,498.07
  5. Step 5: Solve for x
    x = 133,070,597,498.07/420,362.83
  6. Step 6: Final answer
    x = 316,561.29

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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.