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Finding the Fourth Proportional to 521,461.83, 720,035.85 and 419,159.46

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Solution

The fourth proportional to 521,461.83, 720,035.85 and 419,159.46 is: 578,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,461.83 : 720,035.85 = 419,159.46 : x
  2. Step 2: Convert to fraction form
    521,461.83/720,035.85 = 419,159.46/x
  3. Step 3: Cross multiply
    521,461.83x = 720,035.85 × 419,159.46
  4. Step 4: Simplify right side
    521,461.83x = 301,809,838,066.64
  5. Step 5: Solve for x
    x = 301,809,838,066.64/521,461.83
  6. Step 6: Final answer
    x = 578,776.47

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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.