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Finding the Fourth Proportional to 420,643.93, 580,485.58 and 229,657.32

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Solution

The fourth proportional to 420,643.93, 580,485.58 and 229,657.32 is: 316,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,643.93 : 580,485.58 = 229,657.32 : x
  2. Step 2: Convert to fraction form
    420,643.93/580,485.58 = 229,657.32/x
  3. Step 3: Cross multiply
    420,643.93x = 580,485.58 × 229,657.32
  4. Step 4: Simplify right side
    420,643.93x = 133,312,761,686.51
  5. Step 5: Solve for x
    x = 133,312,761,686.51/420,643.93
  6. Step 6: Final answer
    x = 316,925.44

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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.