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Finding the Fourth Proportional to 509,935.37, 703,728.08 and 280,509.71

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Solution

The fourth proportional to 509,935.37, 703,728.08 and 280,509.71 is: 387,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,935.37 : 703,728.08 = 280,509.71 : x
  2. Step 2: Convert to fraction form
    509,935.37/703,728.08 = 280,509.71/x
  3. Step 3: Cross multiply
    509,935.37x = 703,728.08 × 280,509.71
  4. Step 4: Simplify right side
    509,935.37x = 197,402,554,718.47
  5. Step 5: Solve for x
    x = 197,402,554,718.47/509,935.37
  6. Step 6: Final answer
    x = 387,112.89

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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.