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Finding the Fourth Proportional to 420,391.40, 580,152.47 and 229,417.11

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Solution

The fourth proportional to 420,391.40, 580,152.47 and 229,417.11 is: 316,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,391.40 : 580,152.47 = 229,417.11 : x
  2. Step 2: Convert to fraction form
    420,391.40/580,152.47 = 229,417.11/x
  3. Step 3: Cross multiply
    420,391.40x = 580,152.47 × 229,417.11
  4. Step 4: Simplify right side
    420,391.40x = 133,096,903,026.76
  5. Step 5: Solve for x
    x = 133,096,903,026.76/420,391.40
  6. Step 6: Final answer
    x = 316,602.34

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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.