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Finding the Fourth Proportional to 509,957.40, 703,741.92 and 283,602.90

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Solution

The fourth proportional to 509,957.40, 703,741.92 and 283,602.90 is: 391,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,957.40 : 703,741.92 = 283,602.90 : x
  2. Step 2: Convert to fraction form
    509,957.40/703,741.92 = 283,602.90/x
  3. Step 3: Cross multiply
    509,957.40x = 703,741.92 × 283,602.90
  4. Step 4: Simplify right side
    509,957.40x = 199,583,249,363.57
  5. Step 5: Solve for x
    x = 199,583,249,363.57/509,957.40
  6. Step 6: Final answer
    x = 391,372.40

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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.