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Finding the Fourth Proportional to 602,803.08, 830,980.08 and 459,314.28

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Solution

The fourth proportional to 602,803.08, 830,980.08 and 459,314.28 is: 633,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,803.08 : 830,980.08 = 459,314.28 : x
  2. Step 2: Convert to fraction form
    602,803.08/830,980.08 = 459,314.28/x
  3. Step 3: Cross multiply
    602,803.08x = 830,980.08 × 459,314.28
  4. Step 4: Simplify right side
    602,803.08x = 381,681,017,139.54
  5. Step 5: Solve for x
    x = 381,681,017,139.54/602,803.08
  6. Step 6: Final answer
    x = 633,176.95

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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.