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Finding the Fourth Proportional to 509,440.79, 703,035.59 and 280,019.30

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Solution

The fourth proportional to 509,440.79, 703,035.59 and 280,019.30 is: 386,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,440.79 : 703,035.59 = 280,019.30 : x
  2. Step 2: Convert to fraction form
    509,440.79/703,035.59 = 280,019.30/x
  3. Step 3: Cross multiply
    509,440.79x = 703,035.59 × 280,019.30
  4. Step 4: Simplify right side
    509,440.79x = 196,863,528,871.61
  5. Step 5: Solve for x
    x = 196,863,528,871.61/509,440.79
  6. Step 6: Final answer
    x = 386,430.63

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1.5x scale

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.