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Finding the Fourth Proportional to 729,210.40, 1,005,906 and 427,346.08

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Solution

The fourth proportional to 729,210.40, 1,005,906 and 427,346.08 is: 589,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,210.40 : 1,005,906 = 427,346.08 : x
  2. Step 2: Convert to fraction form
    729,210.40/1,005,906 = 427,346.08/x
  3. Step 3: Cross multiply
    729,210.40x = 1,005,906 × 427,346.08
  4. Step 4: Simplify right side
    729,210.40x = 429,869,985,948.48
  5. Step 5: Solve for x
    x = 429,869,985,948.48/729,210.40
  6. Step 6: Final answer
    x = 589,500.62

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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.