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Finding the Fourth Proportional to 509,880.61, 703,635.83 and 283,521.25

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Solution

The fourth proportional to 509,880.61, 703,635.83 and 283,521.25 is: 391,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,880.61 : 703,635.83 = 283,521.25 : x
  2. Step 2: Convert to fraction form
    509,880.61/703,635.83 = 283,521.25/x
  3. Step 3: Cross multiply
    509,880.61x = 703,635.83 × 283,521.25
  4. Step 4: Simplify right side
    509,880.61x = 199,495,710,066.39
  5. Step 5: Solve for x
    x = 199,495,710,066.39/509,880.61
  6. Step 6: Final answer
    x = 391,259.65

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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.