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Finding the Fourth Proportional to 778,205.40, 1,073,740.74 and 472,274.64

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Solution

The fourth proportional to 778,205.40, 1,073,740.74 and 472,274.64 is: 651,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,205.40 : 1,073,740.74 = 472,274.64 : x
  2. Step 2: Convert to fraction form
    778,205.40/1,073,740.74 = 472,274.64/x
  3. Step 3: Cross multiply
    778,205.40x = 1,073,740.74 × 472,274.64
  4. Step 4: Simplify right side
    778,205.40x = 507,100,521,436.83
  5. Step 5: Solve for x
    x = 507,100,521,436.83/778,205.40
  6. Step 6: Final answer
    x = 651,628.12

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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.