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Finding the Fourth Proportional to 504,657.54, 696,403.98 and 289,646.28

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Solution

The fourth proportional to 504,657.54, 696,403.98 and 289,646.28 is: 399,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,657.54 : 696,403.98 = 289,646.28 : x
  2. Step 2: Convert to fraction form
    504,657.54/696,403.98 = 289,646.28/x
  3. Step 3: Cross multiply
    504,657.54x = 696,403.98 × 289,646.28
  4. Step 4: Simplify right side
    504,657.54x = 201,710,822,184.19
  5. Step 5: Solve for x
    x = 201,710,822,184.19/504,657.54
  6. Step 6: Final answer
    x = 399,698.42

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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.