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Finding the Fourth Proportional to 584,634.64, 806,498.04 and 355,130.68

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Solution

The fourth proportional to 584,634.64, 806,498.04 and 355,130.68 is: 489,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,634.64 : 806,498.04 = 355,130.68 : x
  2. Step 2: Convert to fraction form
    584,634.64/806,498.04 = 355,130.68/x
  3. Step 3: Cross multiply
    584,634.64x = 806,498.04 × 355,130.68
  4. Step 4: Simplify right side
    584,634.64x = 286,412,197,363.87
  5. Step 5: Solve for x
    x = 286,412,197,363.87/584,634.64
  6. Step 6: Final answer
    x = 489,899.47

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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.