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Finding the Fourth Proportional to 713,896.02, 1,069,416.36 and 429,429.60

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Solution

The fourth proportional to 713,896.02, 1,069,416.36 and 429,429.60 is: 643,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,896.02 : 1,069,416.36 = 429,429.60 : x
  2. Step 2: Convert to fraction form
    713,896.02/1,069,416.36 = 429,429.60/x
  3. Step 3: Cross multiply
    713,896.02x = 1,069,416.36 × 429,429.60
  4. Step 4: Simplify right side
    713,896.02x = 459,239,039,708.26
  5. Step 5: Solve for x
    x = 459,239,039,708.26/713,896.02
  6. Step 6: Final answer
    x = 643,285.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.