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Finding the Fourth Proportional to 897,573, 1,238,622.30 and 510,430.50

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Solution

The fourth proportional to 897,573, 1,238,622.30 and 510,430.50 is: 704,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,573 : 1,238,622.30 = 510,430.50 : x
  2. Step 2: Convert to fraction form
    897,573/1,238,622.30 = 510,430.50/x
  3. Step 3: Cross multiply
    897,573x = 1,238,622.30 × 510,430.50
  4. Step 4: Simplify right side
    897,573x = 632,230,599,900.15
  5. Step 5: Solve for x
    x = 632,230,599,900.15/897,573
  6. Step 6: Final answer
    x = 704,377.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.