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Finding the Fourth Proportional to 817,646, 1,128,368.76 and 459,950

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Solution

The fourth proportional to 817,646, 1,128,368.76 and 459,950 is: 634,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,646 : 1,128,368.76 = 459,950 : x
  2. Step 2: Convert to fraction form
    817,646/1,128,368.76 = 459,950/x
  3. Step 3: Cross multiply
    817,646x = 1,128,368.76 × 459,950
  4. Step 4: Simplify right side
    817,646x = 518,993,211,162
  5. Step 5: Solve for x
    x = 518,993,211,162/817,646
  6. Step 6: Final answer
    x = 634,740.72

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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.