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Finding the Fourth Proportional to 553,722, 830,015.60 and 420,319.86

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Solution

The fourth proportional to 553,722, 830,015.60 and 420,319.86 is: 630,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,722 : 830,015.60 = 420,319.86 : x
  2. Step 2: Convert to fraction form
    553,722/830,015.60 = 420,319.86/x
  3. Step 3: Cross multiply
    553,722x = 830,015.60 × 420,319.86
  4. Step 4: Simplify right side
    553,722x = 348,872,038,688.22
  5. Step 5: Solve for x
    x = 348,872,038,688.22/553,722
  6. Step 6: Final answer
    x = 630,049.08

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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.