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Finding the Fourth Proportional to 553,077.28, 830,110.40 and 283,389.40

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Solution

The fourth proportional to 553,077.28, 830,110.40 and 283,389.40 is: 425,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,077.28 : 830,110.40 = 283,389.40 : x
  2. Step 2: Convert to fraction form
    553,077.28/830,110.40 = 283,389.40/x
  3. Step 3: Cross multiply
    553,077.28x = 830,110.40 × 283,389.40
  4. Step 4: Simplify right side
    553,077.28x = 235,244,488,189.76
  5. Step 5: Solve for x
    x = 235,244,488,189.76/553,077.28
  6. Step 6: Final answer
    x = 425,337.46

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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.