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Finding the Fourth Proportional to 778,222.40, 1,073,764 and 472,292

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Solution

The fourth proportional to 778,222.40, 1,073,764 and 472,292 is: 651,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,222.40 : 1,073,764 = 472,292 : x
  2. Step 2: Convert to fraction form
    778,222.40/1,073,764 = 472,292/x
  3. Step 3: Cross multiply
    778,222.40x = 1,073,764 × 472,292
  4. Step 4: Simplify right side
    778,222.40x = 507,130,147,088
  5. Step 5: Solve for x
    x = 507,130,147,088/778,222.40
  6. Step 6: Final answer
    x = 651,651.95

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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.