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Finding the Fourth Proportional to 553,457.60, 829,943.40 and 253,838.60

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Solution

The fourth proportional to 553,457.60, 829,943.40 and 253,838.60 is: 380,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,457.60 : 829,943.40 = 253,838.60 : x
  2. Step 2: Convert to fraction form
    553,457.60/829,943.40 = 253,838.60/x
  3. Step 3: Cross multiply
    553,457.60x = 829,943.40 × 253,838.60
  4. Step 4: Simplify right side
    553,457.60x = 210,671,670,735.24
  5. Step 5: Solve for x
    x = 210,671,670,735.24/553,457.60
  6. Step 6: Final answer
    x = 380,646.45

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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.