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Finding the Fourth Proportional to 510,014.76, 703,798.18 and 280,557.50

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Solution

The fourth proportional to 510,014.76, 703,798.18 and 280,557.50 is: 387,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,014.76 : 703,798.18 = 280,557.50 : x
  2. Step 2: Convert to fraction form
    510,014.76/703,798.18 = 280,557.50/x
  3. Step 3: Cross multiply
    510,014.76x = 703,798.18 × 280,557.50
  4. Step 4: Simplify right side
    510,014.76x = 197,455,857,885.35
  5. Step 5: Solve for x
    x = 197,455,857,885.35/510,014.76
  6. Step 6: Final answer
    x = 387,157.14

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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.