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Finding the Fourth Proportional to 509,888.66, 704,365.89 and 408,587.06

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Solution

The fourth proportional to 509,888.66, 704,365.89 and 408,587.06 is: 564,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,888.66 : 704,365.89 = 408,587.06 : x
  2. Step 2: Convert to fraction form
    509,888.66/704,365.89 = 408,587.06/x
  3. Step 3: Cross multiply
    509,888.66x = 704,365.89 × 408,587.06
  4. Step 4: Simplify right side
    509,888.66x = 287,794,788,159.38
  5. Step 5: Solve for x
    x = 287,794,788,159.38/509,888.66
  6. Step 6: Final answer
    x = 564,426.73

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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.