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Finding the Fourth Proportional to 434,237.76, 651,278.56 and 153,756.48

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Solution

The fourth proportional to 434,237.76, 651,278.56 and 153,756.48 is: 230,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,237.76 : 651,278.56 = 153,756.48 : x
  2. Step 2: Convert to fraction form
    434,237.76/651,278.56 = 153,756.48/x
  3. Step 3: Cross multiply
    434,237.76x = 651,278.56 × 153,756.48
  4. Step 4: Simplify right side
    434,237.76x = 100,138,298,885.07
  5. Step 5: Solve for x
    x = 100,138,298,885.07/434,237.76
  6. Step 6: Final answer
    x = 230,607.07

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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.