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Finding the Fourth Proportional to 698,294.68, 964,014.88 and 470,051.96

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Solution

The fourth proportional to 698,294.68, 964,014.88 and 470,051.96 is: 648,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,294.68 : 964,014.88 = 470,051.96 : x
  2. Step 2: Convert to fraction form
    698,294.68/964,014.88 = 470,051.96/x
  3. Step 3: Cross multiply
    698,294.68x = 964,014.88 × 470,051.96
  4. Step 4: Simplify right side
    698,294.68x = 453,137,083,813.17
  5. Step 5: Solve for x
    x = 453,137,083,813.17/698,294.68
  6. Step 6: Final answer
    x = 648,919.57

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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.