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Finding the Fourth Proportional to 420,477.30, 580,259.16 and 229,490.64

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Solution

The fourth proportional to 420,477.30, 580,259.16 and 229,490.64 is: 316,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,477.30 : 580,259.16 = 229,490.64 : x
  2. Step 2: Convert to fraction form
    420,477.30/580,259.16 = 229,490.64/x
  3. Step 3: Cross multiply
    420,477.30x = 580,259.16 × 229,490.64
  4. Step 4: Simplify right side
    420,477.30x = 133,164,045,994.26
  5. Step 5: Solve for x
    x = 133,164,045,994.26/420,477.30
  6. Step 6: Final answer
    x = 316,697.35

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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.