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Finding the Fourth Proportional to 522,112.86, 720,501.75 and 307,265.58

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Solution

The fourth proportional to 522,112.86, 720,501.75 and 307,265.58 is: 424,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,112.86 : 720,501.75 = 307,265.58 : x
  2. Step 2: Convert to fraction form
    522,112.86/720,501.75 = 307,265.58/x
  3. Step 3: Cross multiply
    522,112.86x = 720,501.75 × 307,265.58
  4. Step 4: Simplify right side
    522,112.86x = 221,385,388,104.77
  5. Step 5: Solve for x
    x = 221,385,388,104.77/522,112.86
  6. Step 6: Final answer
    x = 424,018.26

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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.