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Finding the Fourth Proportional to 562,106.90, 775,726 and 307,458.12

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Solution

The fourth proportional to 562,106.90, 775,726 and 307,458.12 is: 424,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,106.90 : 775,726 = 307,458.12 : x
  2. Step 2: Convert to fraction form
    562,106.90/775,726 = 307,458.12/x
  3. Step 3: Cross multiply
    562,106.90x = 775,726 × 307,458.12
  4. Step 4: Simplify right side
    562,106.90x = 238,503,257,595.12
  5. Step 5: Solve for x
    x = 238,503,257,595.12/562,106.90
  6. Step 6: Final answer
    x = 424,302.31

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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.