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Finding the Fourth Proportional to 553,346.40, 830,019.60 and 454,931.40

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Solution

The fourth proportional to 553,346.40, 830,019.60 and 454,931.40 is: 682,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,346.40 : 830,019.60 = 454,931.40 : x
  2. Step 2: Convert to fraction form
    553,346.40/830,019.60 = 454,931.40/x
  3. Step 3: Cross multiply
    553,346.40x = 830,019.60 × 454,931.40
  4. Step 4: Simplify right side
    553,346.40x = 377,601,978,655.44
  5. Step 5: Solve for x
    x = 377,601,978,655.44/553,346.40
  6. Step 6: Final answer
    x = 682,397.10

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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.