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Finding the Fourth Proportional to 562,509.18, 776,258.10 and 307,859.76

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Solution

The fourth proportional to 562,509.18, 776,258.10 and 307,859.76 is: 424,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,509.18 : 776,258.10 = 307,859.76 : x
  2. Step 2: Convert to fraction form
    562,509.18/776,258.10 = 307,859.76/x
  3. Step 3: Cross multiply
    562,509.18x = 776,258.10 × 307,859.76
  4. Step 4: Simplify right side
    562,509.18x = 238,978,632,364.06
  5. Step 5: Solve for x
    x = 238,978,632,364.06/562,509.18
  6. Step 6: Final answer
    x = 424,843.97

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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.