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Finding the Fourth Proportional to 553,726, 830,021.58 and 420,323.86

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Solution

The fourth proportional to 553,726, 830,021.58 and 420,323.86 is: 630,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,726 : 830,021.58 = 420,323.86 : x
  2. Step 2: Convert to fraction form
    553,726/830,021.58 = 420,323.86/x
  3. Step 3: Cross multiply
    553,726x = 830,021.58 × 420,323.86
  4. Step 4: Simplify right side
    553,726x = 348,877,874,388.90
  5. Step 5: Solve for x
    x = 348,877,874,388.90/553,726
  6. Step 6: Final answer
    x = 630,055.07

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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.