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Finding the Fourth Proportional to 562,646.88, 776,471.04 and 307,998

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Solution

The fourth proportional to 562,646.88, 776,471.04 and 307,998 is: 425,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,646.88 : 776,471.04 = 307,998 : x
  2. Step 2: Convert to fraction form
    562,646.88/776,471.04 = 307,998/x
  3. Step 3: Cross multiply
    562,646.88x = 776,471.04 × 307,998
  4. Step 4: Simplify right side
    562,646.88x = 239,151,527,377.92
  5. Step 5: Solve for x
    x = 239,151,527,377.92/562,646.88
  6. Step 6: Final answer
    x = 425,047.28

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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.