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Finding the Fourth Proportional to 553,355.40, 830,810.70 and 343,403.40

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Solution

The fourth proportional to 553,355.40, 830,810.70 and 343,403.40 is: 515,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,355.40 : 830,810.70 = 343,403.40 : x
  2. Step 2: Convert to fraction form
    553,355.40/830,810.70 = 343,403.40/x
  3. Step 3: Cross multiply
    553,355.40x = 830,810.70 × 343,403.40
  4. Step 4: Simplify right side
    553,355.40x = 285,303,219,136.38
  5. Step 5: Solve for x
    x = 285,303,219,136.38/553,355.40
  6. Step 6: Final answer
    x = 515,587.67

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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.