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Finding the Fourth Proportional to 651,471.84, 978,317.28 and 424,154.40

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Solution

The fourth proportional to 651,471.84, 978,317.28 and 424,154.40 is: 636,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,471.84 : 978,317.28 = 424,154.40 : x
  2. Step 2: Convert to fraction form
    651,471.84/978,317.28 = 424,154.40/x
  3. Step 3: Cross multiply
    651,471.84x = 978,317.28 × 424,154.40
  4. Step 4: Simplify right side
    651,471.84x = 414,957,578,908.03
  5. Step 5: Solve for x
    x = 414,957,578,908.03/651,471.84
  6. Step 6: Final answer
    x = 636,953.98

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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.