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Finding the Fourth Proportional to 509,492.86, 703,101.93 and 280,070.07

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Solution

The fourth proportional to 509,492.86, 703,101.93 and 280,070.07 is: 386,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,492.86 : 703,101.93 = 280,070.07 : x
  2. Step 2: Convert to fraction form
    509,492.86/703,101.93 = 280,070.07/x
  3. Step 3: Cross multiply
    509,492.86x = 703,101.93 × 280,070.07
  4. Step 4: Simplify right side
    509,492.86x = 196,917,803,065.34
  5. Step 5: Solve for x
    x = 196,917,803,065.34/509,492.86
  6. Step 6: Final answer
    x = 386,497.67

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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.