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Finding the Fourth Proportional to 649,429.60, 896,223 and 362,968.24

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Solution

The fourth proportional to 649,429.60, 896,223 and 362,968.24 is: 500,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,429.60 : 896,223 = 362,968.24 : x
  2. Step 2: Convert to fraction form
    649,429.60/896,223 = 362,968.24/x
  3. Step 3: Cross multiply
    649,429.60x = 896,223 × 362,968.24
  4. Step 4: Simplify right side
    649,429.60x = 325,300,484,957.52
  5. Step 5: Solve for x
    x = 325,300,484,957.52/649,429.60
  6. Step 6: Final answer
    x = 500,901.85

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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.