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Finding the Fourth Proportional to 433,888.25, 651,252.16 and 209,406.72

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Solution

The fourth proportional to 433,888.25, 651,252.16 and 209,406.72 is: 314,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,888.25 : 651,252.16 = 209,406.72 : x
  2. Step 2: Convert to fraction form
    433,888.25/651,252.16 = 209,406.72/x
  3. Step 3: Cross multiply
    433,888.25x = 651,252.16 × 209,406.72
  4. Step 4: Simplify right side
    433,888.25x = 136,376,578,053.65
  5. Step 5: Solve for x
    x = 136,376,578,053.65/433,888.25
  6. Step 6: Final answer
    x = 314,312.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.