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Finding the Fourth Proportional to 402,938.70, 604,408.05 and 242,580.30

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Solution

The fourth proportional to 402,938.70, 604,408.05 and 242,580.30 is: 363,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,938.70 : 604,408.05 = 242,580.30 : x
  2. Step 2: Convert to fraction form
    402,938.70/604,408.05 = 242,580.30/x
  3. Step 3: Cross multiply
    402,938.70x = 604,408.05 × 242,580.30
  4. Step 4: Simplify right side
    402,938.70x = 146,617,486,091.42
  5. Step 5: Solve for x
    x = 146,617,486,091.42/402,938.70
  6. Step 6: Final answer
    x = 363,870.45

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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.