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Finding the Fourth Proportional to 704,798.94, 972,622.16 and 398,869.77

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Solution

The fourth proportional to 704,798.94, 972,622.16 and 398,869.77 is: 550,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,798.94 : 972,622.16 = 398,869.77 : x
  2. Step 2: Convert to fraction form
    704,798.94/972,622.16 = 398,869.77/x
  3. Step 3: Cross multiply
    704,798.94x = 972,622.16 × 398,869.77
  4. Step 4: Simplify right side
    704,798.94x = 387,949,575,261.75
  5. Step 5: Solve for x
    x = 387,949,575,261.75/704,798.94
  6. Step 6: Final answer
    x = 550,440.07

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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.