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Finding the Fourth Proportional to 434,573.40, 652,637.70 and 420,576.60

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Solution

The fourth proportional to 434,573.40, 652,637.70 and 420,576.60 is: 631,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,573.40 : 652,637.70 = 420,576.60 : x
  2. Step 2: Convert to fraction form
    434,573.40/652,637.70 = 420,576.60/x
  3. Step 3: Cross multiply
    434,573.40x = 652,637.70 × 420,576.60
  4. Step 4: Simplify right side
    434,573.40x = 274,484,144,897.82
  5. Step 5: Solve for x
    x = 274,484,144,897.82/434,573.40
  6. Step 6: Final answer
    x = 631,617.45

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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.