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Finding the Fourth Proportional to 553,725, 830,020.10 and 420,322.86

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Solution

The fourth proportional to 553,725, 830,020.10 and 420,322.86 is: 630,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,725 : 830,020.10 = 420,322.86 : x
  2. Step 2: Convert to fraction form
    553,725/830,020.10 = 420,322.86/x
  3. Step 3: Cross multiply
    553,725x = 830,020.10 × 420,322.86
  4. Step 4: Simplify right side
    553,725x = 348,876,420,187.87
  5. Step 5: Solve for x
    x = 348,876,420,187.87/553,725
  6. Step 6: Final answer
    x = 630,053.58

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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.